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Call number: | 9783662483688:ONLINE Show nearby items on shelf |
Title: | Solved Problems in Electromagnetics |
Author(s): |
Félix Salazar Bloise |
Date: | 2017 |
Size: | 1 online resource (XVIII, 806 p. 580 illus., 138 illus. in color p.) |
Contents: | A mathematical introduction -- Static electric field in vacuum -- Static electric field in dielectrics -- Electric current -- Magnetostatics -- Static magnetic field in presence of matter -- Methods for solving electrostatic and |
magnetostatic problems -- Electromagnetic induction -- Energy of the electromagnetic field -- Maxwell equations -- Motion of charged particles in electromagnetic fields -- Electromagnetic waves -- Reflection and refraction -- Wave | |
propagation in anisotropic media | |
ISBN: | 9783662483688 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Electronics , Microelectronics , Physics , Classical Electrodynamics , Electronics and Microelectronics, Instrumentation , Mathematical Methods in Physics |
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Location: | ONLINE |
Call number: | 9783319496825:ONLINE Show nearby items on shelf |
Title: | Theory of Gravitational Interactions |
Author(s): |
Maurizio Gasperini |
Date: | 2017 |
Edition: | 2nd ed. 2017 |
Size: | 1 online resource (XVII, 373 p. 14 illus p.) |
Contents: | Elementary Notions of Relativistic Field Theory -- Towards a Relativistic Theory of Gravity -- Tensor Calculus in a Riemann Manifold -- Maxwell Equations and Riemann Geometry -- Test Bodies and Signals in a Riemann Space–Time -- |
Geodesic Deviation and Curvature Tensor -- The Einstein Equations for the Gravitational Field -- The Weak-Field Approximation -- Gravitational Waves -- The Schwarzschild Solution -- The Kasner Solution -- Vierbeins and Lorentz | |
Connection -- The Dirac Equation in a Gravitational Field -- Supersymmetry and Supergravity -- Appendix A The Language of Differential Forms -- Appendix B Higher-Dimensional Gravity -- References -- Index | |
ISBN: | 9783319496825 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Mathematical physics , Quantum field theory , String theory , Gravitation , Cosmology , Physics , Classical and Quantum Gravitation, Relativity Theory , Quantum Field Theories, String Theory , Cosmology , Mathematical Physics |
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Call number: | 9783319444918:ONLINE Show nearby items on shelf |
Title: | Analytical Mechanics |
Author(s): |
Carl S Helrich |
Date: | 2017 |
Size: | 1 online resource (XV, 349 p. 58 illus p.) |
Contents: | History -- Lagrangian Mechanics -- Hamiltonian Mechanics -- Solid Bodies -- Hamilton-Jacobi Approach -- Complex Systems -- Chaos in Dynamical Systems -- Special Relativity -- Appendices -- Differential of S -- Hamilton-Jacobi Equation |
-- With Variables p, q, q -- Zero-Component Lemma -- Maxwell Equations from Field Strength Tensor -- Differential Operators -- Answers to Selected Exercises. | |
ISBN: | 9783319444918 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Mechanics , Mechanics, Applied , Physics , Classical Mechanics , Mathematical Methods in Physics , Theoretical and Applied Mechanics |
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Call number: | 9781608071739:ONLINE Show nearby items on shelf |
Title: | Microwave and millimeter-wave remote sensing for security applications |
Author(s): |
Jeffrey A. Nanzer |
Date: | 2012 |
Publisher: | Artech House |
Size: | 1 online resource (385 p.) |
Contents: | 1. Introduction -- 2. Electromagnetic plane wave fundamentals -- 3. Electromagnetic waves in media -- 4. Antennas -- 5. Receivers -- 6. Radiometry -- 7. Radar -- 8. Imaging systems -- 9. Interferometric measurement of angular velocity |
Chapter 1 Introduction -- Security Sensing -- Needs for Remote Security Sensing -- Advantages of Microwave and Millimeter-Wave Remote Sensors -- Overview of Remote Sensing Techniques -- Radiometry -- Radar Systems -- Imaging Systems -- Interferometr ic Angular Velocity Measurement -- Microwave and Millimeter-Wave Remote Sensing in Related Fields -- The Microwave and Millimeter-Wave Spectrum -- Frequency Designations -- Propagation of Microwave and Millimeter-Wave Radiation -- Examples of Remote Secur ity Sensors -- Active Imaging for Contraband Detection -- Passive Imaging for Contraband Detection -- Detection of Human Presence -- Discrimination of Humans and Classification of Human Activity -- Through-Wall Detection -- Biological Signature Detection -- Chapter 2 Electromagnetic Plane Wave Fundamentals -- Maxwell.s Equations -- The Constitutive Parameters -- Time-Harmonic Electromagnetic Fields -- The Wave Equation -- Plane Waves -- Phase Velocity -- Relationship Between E and H -- Energy and Power -- Wave Polarization -- Linear Polarization -- Elliptical Polarization | |
Chapter 3 Electromagnetic Waves in Media -- Plane Wave Propagation in Unbounded Media -- Good Conducting Media -- Good Dielectric Media -- Wave Impedance in Media -- Complex Permittivity and Dispersion -- Plane Wave Propagation in Bounded Media -- R eflection and Transmission of Normally Incident Waves -- Reflection and Transmission of Arbitrarily Incident Waves -- Transverse Electric (Perpendicular) Incidence -- Transverse Magnetic (Parallel) Incidence -- Power Reflection and Transmission -- Total T ransmission and Total Reflection -- Layered Media -- Electromagnetic Propagation in Specific Media -- Atmospheric Propagation Effects -- Propagation Through Building Materials -- Propagation Through Clothing and Garment Materials -- Dielectric Properties of Explosives, Plastics, and Metals -- Dielectric Properties of Human Tissue | |
Chapter 4 Antennas -- Electromagnetic Potentials -- Electromagnetic Potentials Due to Electric Current Density J -- Electromagnetic Potentials Due to Magnetic Current Density Jm -- Infinitesimal Dipole Radiation -- Far Field Radiation -- Infinitesim al Dipole Far-Field Radiation -- Antenna Parameters -- Radiated Power Density and Total Radiated Power -- Antenna Pattern -- Antenna Pattern Beamwidth -- Antenna Solid Angles -- Directivity -- Gain -- Aperture Area and Pattern Solid Angle -- Antenna Tempe rature and Noise Power . Polarization -- Properties of Wire Antennas -- Infinitesimal Dipole -- Long Dipole -- Aperture Antennas -- Image theory -- The Equivalence Principle -- Radiation from a Rectangular Aperture -- Radiation from a Circular Aperture -- Antenna Arrays -- Linear Array Theory -- Planar Arrays -- Array Beamwidth -- Phased Arrays -- Array Architectures -- Signal Feeds -- Beam Steering -- Common Microwave and Millimeter-Wave Antennas -- Horn Antennas -- Slot Antennas -- Microstrip Antennas - - Reflector Antenna Systems -- Lens Antenna Systems -- Chapter 5 Receivers -- General Operation of Receivers -- Receiver Noise -- Sources of Receiver Noise -- Thermal Noise -- Shot Noise -- Flicker Noise -- Equivalent Noise Bandwidth -- Thermal Noise at M illimeter-Wave Frequencies -- Noise Figure and Noise Temperature -- Noise Temperature -- Noise Figure of an Attenuator -- Noise in Cascaded Systems -- ADC Noise -- Receiver Linearity -- Gain Compression -- Intermodulation Products -- Third Order Intercept Point -- Intercept Point of a Cascade -- Dynamic Range -- Spurious Free Dynamic Range | |
Chapter 6 -- Radiometry -- Radiometry Fundamentals -- Brightness -- Brightness and Distance -- Flux Density and Source Distribution -- Effect of the Antenna -- Blackbody Radiation -- Planck.s Blackbody Radiation Law -- Approximations of Planck.s Law -- Band-Limited Integration of Planck.s Law -- Applied Radiometry -- Source Resolution -- Resolved Source -- Unresolved Source -- Received Power as a Convolution -- Emissivity and Radiometric Temperature -- Emissivities of Human Skin and Common Materials -- Radiometric Temperature in an Environment -- Radiometer Receivers -- Total Power Radiometer -- Total Power Response -- Interferometric Correlation Radiometer -- Spatial Point Source Response -- Receiver Instabilities -- Dicke Radiometer -- Radiometer Calibration -- Scanning Radiometer Systems -- Spatial Resolution -- Dwell Time -- Measurement Uncertainty -- One-Dimensional Scanning -- Two-Dimensional Scanning -- Chapter 7 Radar -- Configurations and Measurements -- Range Equation -- Transmitter System s . Transmitter Functionality -- Transmitter Noise -- Millimeter-Wave Oscillators -- Radar Measurement Sensitivity -- Range Measurement Error -- Frequency Measurement Error -- Angle Measurement Error -- Impact of the Time-Bandwidth Product on Measurement Error -- Micro-Doppler -- Micro-Doppler in Security Radar -- Micro-Doppler Theory -- Human Micro-Doppler Signature -- Continuous-Wave Radar -- Continuous-Wave Doppler -- Frequency-Modulated CW -- Multifrequency CW -- Moving Target Indication Radar -- High -Range Resolution Radar -- Pulse Radar -- Linear Frequency Modulation -- Stepped-Frequency Modulation | |
Chapter 8 Imaging Systems -- Scanning Imaging Systems -- Types of Scanning Imagers -- General Characteristics of Scanning Systems -- Field of View and Spatial Resolution -- Frame Rate -- Interferometric Imaging Systems -- Image Formation -- Visibili ty Function -- Fourier Transform Relationship of Visibility and Radiometric Temperature -- The Correlation Interferometer as a Spatial Filter -- Visibility Sampling -- Two-Dimensional Visibility -- Image Sensitivity -- Image Resolution and Field of View - - Interferometric Imaging Arrays -- Mills Cross Array -- T-Array -- Y-Array -- Circular Arrays -- Chapter 9 Interferometric Measurement of Angular Velocity -- Interferometer Response to an Angularly Moving Point Source -- System Beam Pattern -- Frequency Shift Induced by an Angularly Moving Object -- Comparison to Doppler Frequency Shift -- Frequency Uncertainty at Wide Angles -- Small Angle Approximation -- Interferometer Spectral Response -- General Spectral Response -- Response with a Sinc Function Sys tem Beam Pattern -- Interferometer Response in the Time-Frequency Domain -- Interferometric Measurement of Moving Humans -- Narrow-Beamwidth Response to a Moving Human -- Wide-Beamwidth Response to a Moving Human | |
ISBN: | 9781608071722 |
Series: | Artech House antennas and propagation library |
Series: | eBooks |
Series: | Artech eBooks |
Keywords: | Security systems, Remote sensing. , Microwave remote sensing. |
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Call number: | 9781596932166:ONLINE Show nearby items on shelf |
Title: | Electromagnetic scattering and material characterization |
Author(s): |
Abbas. Omar |
Date: | 2011 |
Publisher: | Artech House |
Size: | 1 online resource(303 p.) |
Contents: | Chapter 1 Introduction -- Microscopic-Macroscopic Transformation -- Metamaterials -- Free-Space Measurements and Focusing -- Waveguide Measurements -- Resonator Measurements -- Radio Frequency (RF) Measurements -- Measurement Accuracy and Extraction Sensitivity -- Chapter 2 Fundamentals -- Spectral Transformations -- Sturm-Liouville Eigenvalue Problems -- Sin-Series and Cos-Series Expansions -- Fourier Series and Fourier Transform -- Fourier-Bessel Series and Hankel Transform -- Multidimensional Fou rier Transform -- Maxwell.s Equations in Free Space -- Time Domain -- Frequency Domain and Auxiliary Potentials -- Spectral Domain and Plane Waves -- Constitutive Relations -- Time Domain and Transient and Steady-State Constitutive Relations -- Frequency Domain and Steady-State Constitutive Relations -- Chapter 3 -- Propagation in Homogeneous Media -- Source-Free Electromagnetic Fields in Homogeneous Media -- Plane Waves and Polarization -- Plane Waves -- Polarization -- Electromagnetic Fields in Material Layers -- Infinitely Extended Material Slabs -- Cylindrical Shells -- Spherical Shells -- Antennas and Antenna Arrays -- Infinitesimal Current Loop (Point Magnetic Dipole) -- Basic Antenna Characteristics -- Antenna Arrays -- Dispersion -- The Concept of Focusing -- Focusing Using a Linear Antenna Array |
Chapter 4 Guided Wave Propagation -- Guided Waves in Homogeneously Filled Waveguides -- TEM Modes -- TE and TM Modes -- Eigenmodes of Inhomogeneously Filled Waveguides -- Coupled Mode Formulation -- Modal Orthogonality and Complex Modes -- Waveguide s with Lossy Boundaries -- Excitation of Waveguides -- Coupled Mode Formulation -- Excitation Sources with a Finite Axial Extent -- Waveguide Junctions -- Junction Between Two Empty Waveguides with Different Cross Sections -- Junction Between Empty and In homogeneously -- Filled Waveguides Sharing the Same Cross Section -- Chapter 5 Electromagnetic Cavity Resonators -- Construction of Complete Sets of Three-Dimensional Vector Functions -- Divergenceless Eigenmodes -- Irrotational Eigenmodes -- Resonance Mo des in Homogeneously Filled Cavities -- Resonance Modes in Inhomogeneously Filled Cavities -- Coupled Mode Formulation -- Modal Orthogonality and Stored Energies -- Cavity Resonators with Lossy Boundaries -- Excitation of Cavity Resonators -- Coupled Mode Formulation -- Source-Free Fields -- Aperture Coupling of Cavity Resonators | |
Chapter 6 Free-Space Measurements - Planar Interfaces -- Incident, Scattered, and Total Fields -- Measurement Configuration -- Plane-Wave Decomposition of the Far Field of Illuminating Antennas -- Spatially Dependent Field -- Plane-Wave Interpretati on -- Short- and Open-Circuited Half Spaces -- Material Half Spaces (Reflection Measurements Only) -- The Spatially Dependent Free-Space Field -- Transversally Directed Short Current Element as a Radiating Antenna -- Short-Circuited Material Slabs (Reflec tion Measurements Only) -- The Spatially Dependent Free-Space Field -- Material Slabs (Both Reflection and Transmission Measurements) -- The Spatially Dependent Free-Space Fields -- Chapter 7 Free-Space Measurements - Cylindrical and Spherical Interfaces -- Measurement Configuration for Cylindrical Interfaces -- Cylindrical-Harmonics Expansion of the Far Field of Illuminating Antennas -- Spatially Dependent Field -- Measurement of the Constitutive Parameters of Material Cylinders -- Cylindrical Harmonics -- Spatial Cylindrical Harmonics -- Measurement Configuration for Spherical Interfaces -- Spherical-Surface-Harmonics Expansion of the Far Field of Illuminating Antennas -- Incident Field in Local Coordinates -- Radial Potentials of the Incident Field -- Measurement of the Constitutive Parameters of Material Spheres -- Matching the Spherical Surface Harmonics | |
ISBN: | 9781596932166 |
Series: | eBooks |
Series: | Artech eBooks |
Keywords: | Electromagnetic waves, Scattering. , Electromagnetic fields. |
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Call number: | 1848213557:ONLINE Show nearby items on shelf |
Title: | Electromagnetism: Maxwell Equations, Wave Propagation and Emission |
Author(s): |
Becherrawy |
Date: | 2012 |
Publisher: | Wiley-ISTE |
Size: | 1 online resource (561 p.) |
ISBN: | 9781848213555 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Electrical & Electronics Engineering |
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Call number: | SPRINGER-2016-9783319276373:ONLINE Show nearby items on shelf |
Title: | The Many Faces of Maxwell, Dirac and Einstein Equations A Clifford Bundle Approach |
Author(s): |
Jr Rodrigues Waldyr A |
Date: | 2016 |
Edition: | 2nd ed. 2016 |
Size: | 1 online resource (587 p.) |
Note: | 10.1007/978-3-319-27637-3 |
Contents: | Preface -- Introduction -- Multivector and Extensor Calculus -- The Hidden Geometrical Nature of Spinors -- Some Differential Geometry -- Clifford Bundle Approach to the Differential Geometry of Branes -- Some Issues in Relativistic |
Spacetime Theories -- Clifford and Dirac-Hestenes Spinor Fields -- A Clifford Algebra Lagrangian Formalism in Minkowski Spacetime -- Conservation Laws on Riemann-Cartan and Lorentzian Spacetimes -- The DHE on a RCST and the Meaning of | |
Active Local Lorentz Invariance -- On the Nature of the Gravitational Field -- On the Many Faces of Einstein Equations -- Maxwell, Dirac and Seiberg-Witten Equations -- Superparticles and Superfields -- Maxwell, Einstein, Dirac and | |
Navier-Stokes Equations -- Magnetic Like Particles and Elko Spinor Fields.-Appendices A1-5 -- Acronyms and Abbreviations -- List of Symbols -- Index | |
ISBN: | 9783319276373 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 922 |
Keywords: | Physics , Mathematical physics , Differential geometry , Gravitation , Physics , Classical and Quantum Gravitation, Relativity Theory , Mathematical Applications in the Physical Sciences , Differential Geometry |
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Call number: | SPRINGER-2016-9783319252742:ONLINE Show nearby items on shelf |
Title: | The Special Theory of Relativity Foundations, Theory, Verification, Applications |
Author(s): |
Costas Christodoulides |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (480 p.) |
Note: | 10.1007/978-3-319-25274-2 |
Contents: | Historical Introduction -- The Main Landmarks in the Development of the Special Theory of Relativity -- The Principle of Relativity of Galileo. Galileo’s Invariance Hypothesis. The Law of Inertia. Inertial Frames of Reference |
Relativity -- Rømer and the Speed of Light -- Newton’s Laws of Motion. Inertia and Inertial Frames of Reference -- The Aberration of Light -- Arago’s Measurements Concerning the Constancy of the Speed of Light from Stars -- | |
Measurements of the Speed of Light in the Laboratory -- Attempts to Measure the Dragging of Aether by Moving Media -- Maxwell’s Equations and the Wave Equation -- The Experiment of Michelson and Morley -- The Lorentz-Fitzgerald | |
Contraction Hypothesis -- The Increase of the Mass of the Electron with Speed -- The Invariance of Maxwell’s Equations and the Lorentz Transformation -- The Formulation of the Special Theory of Relativity -- Prolegomena -- Inertial | |
Frames of Reference -- The Calibration of a Frame of Reference and the Synchronization of its Clocks -- The Relativity of Simultaneity -- The Relativity of Time and Length -- The Inevitability of the Special Theory of Relativity -- | |
Relativistic Kinematics -- The Lorentz Transformation for the Coordinates of an Event -- The Transformation of Velocity -- The Transformation of Acceleration -- Applications of Relativistic Kinematics -- The ‘Meson’ Paradox -- The | |
apparent focusing of fast charged particle beams due to the dilation of time -- The Sagnac Effect -- Clocks Moving Around the Earth -- The Experiment of Hafele and Keating -- Einstein’s Train -- The Twin Paradox -- Motion with a | |
Constant Proper Acceleration. Hyperbolic Motion -- Two Successive Lorentz Transformations. The Wigner Rotation -- Optical Phenomena -- The Aberration of Light -- Fizeau’s Experiment. Fresnel’s Aether Dragging Theory -- The Doppler | |
Effect -- Relativistic Beaming or the Headlight Effect -- The Pressure Exerted by Light -- Relativistic Dynamics -- The Dfinition of Relativistic Momentum. Relativistic Mass -- Relativistic Energy -- The Relationship Between Momentum | |
and Energy -- Classical Approximations -- Particles with Zero Rest Mass -- The Conservation of Momentum and of Energy -- The Equivalence of Mass and Energy -- The Transformation of Momentum and Energy -- The Zero-Momentum Frame of | |
Reference -- The Transformation of the Total Momentum and the Total Energy of a System of Particles -- The Collision of two Identical Particles -- The Transformation of Force -- Motion Under the Influence of a Constant Force. The | |
Motion of a Charged Particle in a Constant Uniform Electric Field -- The Motion of a Charged Particle in a Constant Homogeneous Magnetic Field -- Applications of Relativistic Dynamics -- The Compton Effect -- The Inverse Compton Effect | |
-- The Consequences of the Special Theory of Relativity on the Design of Particle Accelerators -- Mass Defect and Binding Energy of the Atomic Nucleus -- Threshold Energy -- The General Equations for the Motion of a Relativistic Rocket | |
-- Minkowski’s Spacetime and Four-Vectors -- The ‘World’ of Minkowski -- Four-Vectors -- Electromagnetism -- Introduction -- The Invariance of Electric Charge -- The Transformations of the Electric Field and the Magnetic Field -- The | |
Fields of a Moving Electric Charge -- The Derivation of the Differential form of the Biot-Savart Law from Coulomb’s Law -- The Force Exerted on a Moving Charge by an Electric Current -- Experiments -- The Speed of Light -- The Aether | |
-- The Dilation of Time -- The Relativistic Doppler Effect -- The Contraction of Length -- The Test of the Predictions of Relativistic Kinematics -- The Sagnac Effect -- The Relativistic Mass -- The Equivalence of Mass and Energy -- | |
The Test of the Predictions of Relativistic Dynamics -- The Invariance of Electric Charge -- Appendix 1. The Paradox of the Room and the Rod -- Appendix 2. The Appearance of Moving Bodies -- Appendix 3. The Derivation of the Expression | |
for the Relativistic Mass in General -- Appendix .4. The Invariance of the Equations of Maxwell and the Wave Equation Under the Lorentz Transformation -- Appendix 5. Tachyons -- Appendix 6. The Lorentz Transformation in Matrix Form -- | |
Appendix 7. Table of Some Functions of the Speed -- Solutions of the Problem | |
ISBN: | 9783319252742 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Gravitation , Observations, Astronomical , Astronomy , Physics , Classical and Quantum Gravitation, Relativity Theory , Astronomy, Observations and Techniques |
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Call number: | SPRINGER-2016-9783319220147:ONLINE Show nearby items on shelf |
Title: | From Special Relativity to Feynman Diagrams A Course in Theoretical Particle Physics for Beginners |
Author(s): |
Riccardo D'Auria |
Date: | 2016 |
Edition: | 2nd ed. 2016 |
Size: | 1 online resource (601 p.) |
Note: | 10.1007/978-3-319-22014-7 |
Contents: | Special Relativity -- Relativistic Dynamics -- The Equivalence Principle.- The Poincaré Group -- Maxwell Equations and Special Relativity -- Quantization of the Electromagnetic Field -- Group Representations and Lie Algebras -- |
Lagrangian and Hamiltonian Formalism -- Quantum Mechanics Formalism -- Relativistic Wave Equations -- Quantization of Boson and Fermion Fields -- Fields in Interaction | |
ISBN: | 9783319220147 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Gravitation , Quantum physics , Cosmology , Elementary particles (Physics) , Quantum field theory , Physics , Elementary Particles, Quantum Field Theory , Classical and Quantum Gravitation, Relativity Theory , Quantum Physics , Cosmology |
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Call number: | SPRINGER-2014-9789400776425:ONLINE Show nearby items on shelf |
Title: | Symmetries in Fundamental Physics [electronic resource] |
Author(s): |
Kurt Sundermeyer |
Date: | 2014 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. These symmetries become manifest in that the laws of nature areinvariant under spacetime tran sformations and/or gauge transformations. The consequences of these symmetries were analyzed as early as in 1918 by Emmy Noether on the level of action functionals. Her work did not receive due recognitionfor nearly half a century, but can today be unders tood as a recurring theme in classical mechanics, electrodynamics and special relativity, Yang-Mills type quantum field theories, and in general relativity. As a matter of fact, asshown in this monograph, many aspects of physics can be derived solely from symmetry considerations. This substantiates the statement of E.P. Wigner ... if we knew all the laws of nature, or the ultimate Law of nature, the invarianceproperties of these laws would not furnish us new information. Thanks to Wigner we now also under stand the implications of quantum physics and symmetry considerations: Poincare invariance dictates both the characteristic propertiesof particles (mass, spin, ...) and the wave equations of spin 0, 1/2, 1, ... objects. Further, the work of C.N. Yang and R. Mills reveals the consequences of internal symmetries as exemplified in the symmetry group of elementaryparticle physics. Given this pivotal role of symmetries it is thus not surprising that current research in fundamental physics is to a great degree motivated and inspired by considerations of symmetry. The treatment of symmetries inthis monograph ranges from classical physics to now well-established theories of fundamental interactions, to the latest research on unified theories and quantum gravity |
Contents: | Preface |
Notation | |
Introduction | |
Symmetry: Argument, Principle, and Leitmotif | |
Operations and Invariants | |
Symmetries in Fundamental Physics | |
The Scope of Symmetries | |
Bibliographical Notes | |
Classical Mechanics | |
Newtonian and Analytical Mechanics | |
Symmetries and Conservation Laws | |
Galilei Group | |
Electrodynamics and Special Relativity | |
Electrodynamics la Maxwell | |
Special Relativity | |
Noether Theorems | |
Poincar Transformations | |
Generalizations of Poincar Symmetry | |
On the Validity of Special Relativity | |
Quantum Mechanics | |
Principles of Quantum Mechan | |
ISBN: | 9789400776425 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Fundamental Theories of Physics : v176 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2014-9789400702028:ONLINE Show nearby items on shelf |
Title: | Mathematical Models for Eddy Currents and Magnetostatics [electronic resource] : With Selected Applications |
Author(s): |
Rachid Touzani Jacques Rappaz |
Date: | 2014 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | This monograph addresses fundamental aspects of mathematical modeling and numerical solution methods of electromagnetic problems involving low frequencies, i.e. magnetostatic and eddy current problems which are rarely presented inthe applied mathemat ics literature. In the first part, the authors introduce the mathematical models in a realistic context in view of their use for industrial applications. Several geometric configurations of electric conductorsleading to different mathematical models are c arefully derived and analyzed, and numerical methods for the solution of the obtained problems are given. Related issues such as convergence of the approximations and error estimates arediscussed. The second part of the monograph presents various coupled problems that involve eddy current or magnetostatic problems, in particular magneto-hydrodynamic problems and magnetic shaping problems concerning the melt flow ofelectrically conducting metals, induction heating processes, inductively coupled plasmas and ferromagnetic screening modeling. The presentation of each model comes with numerical illustration from industrial applications |
Contents: | Part I Eddy Current Models |
Mathematical framework | |
Introduction | |
Preliminaries | |
The Three | |
Dimensional Case | |
The Two | |
Dimensional Case | |
Maxwell and eddy current equations | |
Introduction | |
Maxwell equations | |
Low frequency approximation | |
Static cases | |
Time{Harmonic Regime | |
Eddy Current Equations | |
Two | |
dimensional models | |
Introduction | |
A solenoidal two | |
dimensional model | |
A transversal model | |
Three | |
dimensional models | |
A current density formulation | |
A magnetic field formulation | |
An electric field model | |
Axisymmetric models | |
Axisymmetric setting | |
A magneti | |
ISBN: | 9789400702028 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Scientific Computation, 1434-8322 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematics , Computer science , Engineering mathematics |
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Call number: | SPRINGER-2014-9783642195983:ONLINE Show nearby items on shelf |
Title: | Basic Concepts in Physics [electronic resource] : From the Cosmos to Quarks |
Author(s): |
Masud Chaichian Hugo Perez Rojas Anca Tureanu |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Basic Concepts in Physics: From the Cosmos to Quarks is the outcome of the authors' long and varied teaching experience in different countries and for different audiences, and gives an accessible and eminently readableintroduction to all the main ide as of modern physics. The books fresh approach, using a novel combination of historical and conceptual viewpoints, makes it ideal complementary reading to more standard textbooks. The first fivechapters are devoted to classical physics, from planetary mot ion to special relativity, always keeping in mind its relevance to questions of contemporary interest. The next six chapters deal mainly with newer developments in physics,from quantum theory and general relativity to grand unified theories, and the book concludes by discussing the role of physics in living systems. A basic grounding in mathematics is required of the reader, but technicalities areavoided as far as possible thus complex calculations are omitted so long as the essential ideas remain clear. The book is addressed to undergraduate and graduate students in physics and will also be appreciated by many professionalphysicists. It will likewise beof interest to students, researchers and teachers of other natural sciences, as well as to engineers, h igh-school teachers and the curious general reader, who will come to understand what physics isabout and how it describes the different phenomena of Nature. Not only will readers of this book learn much about physics, they will also learn to love it. |
Contents: | Gravitation and Newton Laws |
Entropy, Statistical Physics and Information | |
Electromagnetism and Maxwell Equations | |
Electromagnetic Waves | |
The Special Theory of Relativity | |
The Atom and Quantum Theory | |
Quantum Electrodynamics | |
Fermi | |
Dirac and Bose | |
Einstein Statistics | |
The Four Fundamental Forces | |
General Relativity and Cosmology | |
Unification of the Forces of Nature | |
Physics and Life | |
Index | |
ISBN: | 9783642195983 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Undergraduate Lecture Notes in Physics, 2192-4791 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Biochemistry |
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Call number: | SPRINGER-2014-9783319065816:ONLINE Show nearby items on shelf |
Title: | Symmetries in Fundamental Physics [electronic resource] |
Author(s): |
Kurt Sundermeyer |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. These symmetries become manifest in that the laws of nature areinvariant under spacetime tran sformations and/or gauge transformations. The consequences of these symmetries were analyzed as early as in 1918 by Emmy Noether on the level of action functionals. Her work did not receive due recognitionfor nearly half a century, but can today be unders tood as a recurring theme in classical mechanics, electrodynamics and special relativity, Yang-Mills type quantum field theories, and in general relativity. As a matter of fact, asshown in this monograph, many aspects of physics can be derived solely from symmetry considerations. This substantiates the statement of E.P.Wigner ... if we knew all the laws of nature, or the ultimate Law of nature, the invarianceproperties of these laws would not furnish us new information. Thanks to Wigner we now also unders tand the implications of quantum physics and symmetry considerations: Poincare invariance dictates both the characteristic propertiesof particles (mass, spin, ...) and the wave equations of spin 0, 1/2, 1, ... objects. Further, the work of C.N.Yang and R. Mills reveals the consequences of internal symmetries as exemplified in the symmetry group of elementary particlephysics. Given this pivotal role of symmetries it is thus not surprising that current research in fundamental physics is to a great degree mot ivated and inspired by considerations of symmetry.The treatment of symmetries in thismonograph ranges from classical physics to now well-established theories of fundamental interactions, to the latest research on unified theories and quantum gravity |
Contents: | Preface |
Notation | |
Introduction | |
Symmetry: Argument, Principle, and Leitmotif | |
Operations and Invariants | |
Symmetries in Fundamental Physics | |
The Scope of Symmetries | |
Bibliographical Notes | |
Classical Mechanics | |
Newtonian and Analytical Mechanics | |
Symmetries and Conservation Laws | |
Galilei Group | |
Electrodynamics and Special Relativity | |
Electrodynamics la Maxwell | |
Special Relativity | |
Noether Theorems | |
Poincar Transformations | |
Generalizations of Poincar Symmetry | |
On the Validity of Special Relativity | |
Quantum Mechanics | |
Principles of Quantum Mechan | |
ISBN: | 9783319065816 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Fundamental Theories of Physics : v176 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2013-9789400755420:ONLINE Show nearby items on shelf |
Title: | Quantum Mechanics: Genesis and Achievements [electronic resource] |
Author(s): |
Alexander Komech |
Date: | 2013 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard applications to the hydrogen atom. The author has aimed at presenting quantum mechanics in a comprehensive yet accessible formathematicians and other no n-physicists. The genesis of quantum mechanics, its applications to basic quantum phenomena, and detailed explanations of the corresponding mathematical methods are presented. The exposition is formalized(whenever possible) on the basis of the coupled Sch roedinger, Dirac and Maxwell equations. Aimed at upper graduate and graduate students in mathematical and physical science studies |
Note: | Springer eBooks |
Contents: | Genesis of Quantum Mechanics |
Heisenbergs Matrix Mechanics | |
Schrdingers Wave Mechanics | |
Lagrangian Formalism | |
Wave Particle Duality | |
The Eigenvalue Problem | |
Atom Radiation | |
Scattering of Light and Particles | |
Atom in Magnetic Field | |
Electron Spin and Pauli Equation | |
Relativistic Quantum Mechanics | |
Electrodynamics and Special Relativity | |
Mathematical Appendices | |
Exercises | |
Index | |
ISBN: | 9789400755420 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry, Physical organic , Chemistry , Quantum theory , Mathematical physics |
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Call number: | SPRINGER-2013-9788847026919:ONLINE Show nearby items on shelf |
Title: | Theory of Gravitational Interactions [electronic resource] |
Author(s): |
Maurizio Gasperini |
Date: | 2013 |
Publisher: | Milano : Springer Milan : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This reference textbook is an up-to-date and self-contained introduction to the theory of gravitational interactions. The first part of the book follows the traditional presentation of general relativity as a geometric theory ofthe macroscopic gravit ational field. A second, advanced part then discusses the deep analogies (and differences) between a geometric theory of gravity and the gauge theories of the other fundamental interactions. This fills a gap whichis present in the context of the tradition al approach to general relativity, and which usually makes students puzzled about the role of gravity. The necessary notions of differential geometry are reduced to the minimum, leaving moreroom for those aspects of gravitational physics of current phenom enological and theoretical interest, such as the properties of gravitational waves, the gravitational interactions of spinors, and the supersymmetric andhigher-dimensional generalization of the Einstein equations. Theory of Gravitational Interactions will be of particular value to undergraduate students pursuing a theoretical or astroparticle curriculum. It can also be used by thoseteaching related subjects, by PhD students and young researchers working in different scientific sectors but wishing to enlar ge their spectrum of interests, and, in general, by all scholars interested in the modern aspects and problemsof gravitational interaction |
Note: | Springer eBooks |
Contents: | Elementary notions of relativistic field theory |
Towards a relativistic theory of gravity | |
Tensor calculus in a Riemannian manifold | |
Maxwell equations and Riemann geometry | |
Test bodies and signals in a Riemann spacetime | |
Geodesic deviation and curvature tensor | |
The Einstein equations for the gravitational field | |
The weak field approximation | |
Gravitational waves | |
The Schwarzschild solution | |
The Kasner solution | |
Vierbeins and Lorentz connection | |
The Dirac equation in a gravitational field | |
Supersimmetry and supergravity | |
Appendix A. The language of differential forms | |
ISBN: | 9788847026919 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Undergraduate Lecture Notes in Physics, 2192-4791 |
Series: | Physics and Astronomy (Springer-11651) |
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Call number: | SPRINGER-2013-9783642372766:ONLINE Show nearby items on shelf |
Title: | Special Relativity in General Frames [electronic resource] : From Particles to Astrophysics |
Author(s): |
ric Gourgoulhon |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Special relativity is the basis of many fields in modern physics: particle physics, quantum field theory, high-energy astrophysics, etc. This theory is presented here by adopting a four-dimensional point of view from the start.An outstanding feature of the book is that it doesnt restrict itself to inertial frames but considers accelerated and rotating observers. It is thus possible to treat physical effects such as the Thomas precession or the Sagnaceffect in a simple yet precise manner. In the final chapters, more advanced topics like tensorial fields in spacetime, exterior calculus and relativistic hydrodynamics are addressed. In the last, brief chapter the author gives apreview of gravity and shows where it becomes incompatible with Minkowsky spac etime. Well illustrated and enriched by many historical notes, this book also presents many applications of special relativity, ranging from particle physics(accelerators, particle collisions, quark-gluon plasma) to astrophysics (relativistic jets, active galactic nuclei), and including practical applications (Sagnac gyrometers, synchrotron radiation, GPS). In addition, the book providessome mathematical developments, such as the detailed analysis of the Lorentz group and its Lie algebra. The book is suit able for students in the third year of a physics degree or on a masters course, as well as researchers and anyreader interested in relativity. Thanks to the geometric approach adopted, this book should also be beneficial for the study of general relativit y. A modern presentation of special relativity must put forward its essentialstructures, before illustrating them using concrete applications to specific dynamical problems. Such is the challenge (so successfully met!) of the beautiful book by ric Gourgou lhon. (excerpt from the Foreword by ThibaultDamour) |
Note: | Springer eBooks |
Contents: | Minkowski Spacetime |
Worldlines and Proper Time | |
Observers | |
Kinematics 1: Motion with Respect to an Observer | |
Kinematics 2: Change of Observer | |
Lorentz Group | |
Lorentz Group as a Lie Group | |
Inertial Observers and Poincar Group | |
Energy and Momentum | |
Angular Momentum | |
Principle of Least Action | |
Accelerated Observers | |
Rotating Observers | |
Tensors and Alternate Forms | |
Fields on Spacetime | |
Integration in Spacetime | |
Electromagnetic Field | |
Maxwell Equations | |
Energy | |
Momentum Tensor | |
Energy | |
Momentum of the Electromagnetic Field | |
Relativistic Hydrodynamics | |
What | |
ISBN: | 9783642372766 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematics , Particle acceleration |
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Call number: | SPRINGER-2013-9781461476870:ONLINE Show nearby items on shelf |
Title: | Brownian Dynamics at Boundaries and Interfaces [electronic resource] : In Physics, Chemistry, and Biology |
Author(s): |
Zeev Schuss |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their keyrole in molecular and cellular biophysics: diffusion of ions and molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of stochastic differential equations that model the functions ofbiological micro devices such as protein ionic ch annels of biological membranes, cardiac myocytes, neuronal synapses, and many more. Stochastic differential equations are ubiquitous models in computational physics, chemistry,biophysics, computer science, communications theory, mathematical finance theor y, and many other disciplines. Brownian dynamics simulations of the random motion of particles, be it molecules or stock prices, give rise to mathematicalproblems that neither the kinetic theory of Maxwell and Boltzmann, nor Einsteins and Langevins theori es of Brownian motion could predict. This book takes the readers on a journey that starts with the rigorous definition ofmathematical Brownian motion, and ends with the explicit solution of a series of complex problems that have immediate applications. It is aimed at applied mathematicians, physicists, theoretical chemists, and physiologists who areinterested in modeling, analysis, and simulation of micro devices of microbiology. The book contains exercises and worked out examples throughout |
Note: | Springer eBooks |
Contents: | The Mathematical Brownian Motion |
Euler Simulation of Ito SDEs | |
Simulation of the Overdamped Langevin Equation | |
The First Passage Time of a Diffusion Process | |
Chemical Reaction in Microdomains | |
The Stochastic Separatrix | |
Narrow Escape in R2 | |
Narrow Escape in R3 | |
ISBN: | 9781461476870 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Mathematical Sciences, 0066-5452 : v186 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Distribution (Probability theory) , Mathematical physics |
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Call number: | SPRINGER-2013-9781461449423:ONLINE Show nearby items on shelf |
Title: | Inverse Acoustic and Electromagnetic Scattering Theory [electronic resource] |
Author(s): |
David Colton Rainer Kress |
Date: | 2013 |
Edition: | 3rd ed. 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical andnumerical analysis of the inve rse scattering problem for acoustic and electromagnetic waves. In this third edition, new sections have been added on the linear sampling and factorization methods for solving the inverse scatteringproblem as well as expanded treatments of iteration metho ds and uniqueness theorems for the inverse obstacle problem. These additions have in turn required an expanded presentation of both transmission eigenvalues and boundary integralequations in Sobolev spaces. As in the previous editions, emphasis has been g iven to simplicity over generality thus providing the reader with an accessible introduction to the field of inverse scattering theory. Review of earliereditions: Colton and Kress have written a scholarly, state of the art account of their view of direct and inverse scattering. The book is a pleasure to read as a graduate text or to dip into at leisure. It suggests a number ofopen problems and will be a source of inspiration for many years to come. SIAM Review, September 1994 This book should be on the desk of any researcher, any student, any teacher interested in scattering theory.Mathematical Intelligencer, June 1994 |
Note: | Springer eBooks |
Contents: | Introduction |
The Helmholtz Equation | |
Direct Acoustic Obstacle Scattering | |
III | |
Posed Problems | |
Inverse Acoustic Obstacle Scattering | |
The Maxwell Equations | |
Inverse Electromagnetic Obstacle Scattering | |
Acoustic Waves in an Inhomogeneous Medium | |
Electromagnetic Waves in an Inhomogeneous Medium | |
The Inverse Medium Problem | |
References | |
Index | |
ISBN: | 9781461449423 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Mathematical Sciences, 0066-5452 : v93 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Integral equations , Differential equations, partial , Visualization , Acoustics |
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Call number: | SPRINGER-2012-9789400745131:ONLINE Show nearby items on shelf |
Title: | Nonlinear Optics and Laser Emission through Random Media [electronic resource] |
Author(s): |
Viola Folli |
Date: | 2012 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Disorder is everywhere, inherently present in nature, and is commonly believed to be a synonymous with disturbance. As a consequence, the methodical and customary study of the dynamics of the electromagnetic field, both in thelinear and nonlinear opt ical regimes, leans to rule out it from the treatment. On the other hand, nonlinearity enriches the physical disciplines and brings them closer to reality with respect to the linear approximation. Nonlinearityallows to stimulate a wide and rich ensemble o f optical responses that beautifies the role of matter in the active processes with electromagnetic fields. Independently of each other, both of these mechanisms foster localization oflight. What happens when light enlightens their synergistic interaction ? When pushed together, light, disorder and nonlinearity make new and intriguing phenomena emerge. This text provides a comprehensive investigation of the role ofdisorder in the nonlinear optical propagation both in transparent media and lasers. Eventuall y, disorder promotes and enhances complex nonlinear dynamics opening new perspectives in applied research driven by the processes oflocalization of the electromagnetic field. The first experimental study of laser emission in granular media unveils how ran domness magnifies and largely affect laser-matter interactions. Viola Folli in her research work touches anddeepens the leading milestones of the new science named Complex Photonics |
Note: | Springer eBooks |
Contents: | Foreword by Prof. Dr. Claudio Conti |
Acknowledgements | |
1 Introduction | |
1.1 Light and Nonlinearity | |
1.2 Light and Disorder | |
1.3 Overview of this thesis | |
Part I: Non | |
resonant systems | |
2 Nonlinear Schroedinger Equation | |
3 Weakly Disordered Nonlinear Schroedinger Equation | |
4 Disordered Nonlinear Schroedinger Equation | |
5 Scale | |
Free Nonlinearity in Disordered Ferroelectrics | |
Part II: Resonant systems | |
6 The Maxwell | |
Bloch equations | |
7 Disordered Maxwell | |
Bloch Equations | |
8 Glassy Behavior of Laser | |
9 The Granular Laser | |
10 Conclusions | |
ISBN: | 9789400745131 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 |
Series: | Physics and Astronomy (Springer-11651) |
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Call number: | SPRINGER-2012-9783642279850:ONLINE Show nearby items on shelf |
Title: | Classical Field Theory [electronic resource] : On Electrodynamics, Non-Abelian Gauge Theories and Gravitation |
Author(s): |
Florian Scheck |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book describes Maxwell's equations first in their integral, directly testable form, then moves on to their local formulation. The first two chapters cover all essential properties of Maxwell's equations, including theirsymmetries and their covari ance in a modern notation. Chapter 3 is devoted to Maxwell theory as a classical field theory and to solutions of the wave equation. Chapter 4 deals with important applications of Maxwell theory. It includestopical subjects such as metamaterials with nega tive refraction index and solutions of Helmholtz' equation in paraxial approximation relevant for the description of laser beams. Chapter 5 describes non-Abelian gauge theories from aclassical, geometric point of view, in analogy to Maxwell theory as a pr ototype, and culminates in an application to the U(2) theory relevant for electroweak interactions. The last chapter 6 gives a concise summary of semi-Riemanniangeometry as the framework for the classical field theory of gravitation. The chapter concludes with a discussion of the Schwarzschild solution of Einstein's equations and the classical tests of general relativity (perihelion precessionof Mercury, and light deflection by the sun). ------ Textbook features: detailed figures, worked examples, problem s and solutions, boxed inserts, highlighted special topics, highlighted important math etc., helpful summaries, appendix,index |
Note: | Springer eBooks |
Contents: | Maxwell's Equations |
Symmetries and Covariance of Maxwell's Equations | |
Maxwell Theory as a Classical Field Theory | |
Some Applications of Maxwell Theory | |
Local Gauge Theories | |
Classical Field Theory of Gravitation | |
ISBN: | 9783642279850 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics |
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Call number: | SPRINGER-2012-9781461436584:ONLINE Show nearby items on shelf |
Title: | The General Theory of Relativity [electronic resource] A Mathematical Exposition |
Author(s): |
Anadijiban Das Andrew DeBenedictis |
Date: | 2012 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (withhints and solutions) are furnished. Topics in this book include, but are not limited to: tensor analysis the special theory of relativity the general theory of relativity and Einsteins field equations sphericallysymmetric solutions and experimental confirmations static and s tationary space-time domains black holes cosmological models algebraic classifications and the Newman-Penrose equations the coupledEinstein-Maxwell-Klein-Gordon equations appendices covering mathematical supplements and special topics Mathematical ri gor, yet very clear presentation of the topics make this book a unique text for both university students andresearch scholars. Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland Jadavpur University, India C arnegie-Mellon University, USA and Simon Fraser University, Canada. His major areasof research include, among diverse topics, the mathematical aspects of general relativity theory. Andrew DeBenedictis has taught courses in Theoretical Physics at Simon Fra ser University, Canada, and is also a member of The PacificInstitute for the Mathematical Sciences. His research interests include quantum gravity, classical gravity, and semi-classical gravity |
Note: | Springer eBooks |
Contents: | Tensor Analysis on Differentiable Manifolds |
The Pseudo | |
Riemannian Space | |
Time Manifold M4 | |
Spherically Symmetric Space | |
Time Domains | |
Static and Stationary Space | |
Time Domains | |
Black Holes | |
Cosmology | |
Algebraic Classification of Field Equations | |
The Coupled Einstein | |
Maxwell | |
Klein | |
Gordon Equations | |
Appendix 1: Variational Derivation of Differential Equations | |
Appendix 2: Partial Differential Equations | |
Appendix 3: Canonical Forms of Matrices | |
Appendix 4: Conformally Flat Space | |
Times and the Fifth Force | |
Appendix 5: Linearized Theory and Gravitational Waves | |
Appendix 6: | |
ISBN: | 9781461436584 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Global analysis |
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Call number: | SPRINGER-2010-9788847015067:ONLINE Show nearby items on shelf |
Title: | Eddy Current Approximation of Maxwell Equations [electronic resource] : Theory, algorithms and applications |
Author(s): |
Ana Alonso Rodrguez Alberto Valli |
Date: | 2010 |
Publisher: | Milano : Springer Milan |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | This book deals with the mathematical analysis and the numerical approximation of time-harmonic eddy current problems. It is self-contained and suitable for mathematicians and engineers working in the field, and also accessiblefor beginners. Dependin g on the choice of the physical unknowns, these problems are formulated in different variational ways, with specific attention to the topology of the computational domain. Finite elements of nodal or edge typeare used for numerical approximation, and a co mplete analysis of convergence is performed. A specific feature of the book is the emphasis given to saddle-point formulations in terms of the magnetic and electric fields. New results forvoltage or current intensity excitation problems are also presented |
Note: | Springer eBooks |
ISBN: | 9788847015067 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | MS&A, 2037-5255 : v4 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Computer science Mathematics |
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Call number: | SPRINGER-2010-9783642127915:ONLINE Show nearby items on shelf |
Title: | Reconstruction of Macroscopic Maxwell Equations [electronic resource] : A Single Susceptibility Theory |
Author(s): |
Kikuo Cho |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book presents a logically more complete form of macroscopic Maxwell equations than the conventional ones by applying long wavelength approximation to microscopic nonlocal theory. This scheme requires only one susceptibilitytensor describing elec tric and magnetic polarizations together with their mutual interference. The quantum mechanical expression of the susceptibility covers both chiral and achiral symmetry. Only in the absence of chiral symmetry,this reduces to the conventional form, under t he additional condition of using magnetic susceptibility defined with respect to, not H, but B. This scheme solves various problems inherent to the conventional scheme of Maxwellequations |
Note: | Springer eBooks |
Contents: | Introduction |
A New Form of Macroscopic M | |
eqs | |
Discussion about the New Result | |
Furhter Considerations | |
ISBN: | 9783642127915 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Tracts in Modern Physics, 0081-3869 : v237 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics |
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Call number: | SPRINGER-2009-9783540795728:ONLINE Show nearby items on shelf |
Title: | Ultraviolet and Soft X-Ray Free-Electron Lasers [electronic resource] : Introduction to Physical Principles, Experimental Results, Technological Challenges |
Author(s): |
Peter Schmser Martin Dohlus Jrg Rossbach |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | In the introduction accelerator-based light sources are considered and a comparison is made between free-electron lasers and conventional quantum lasers. The motion and radiation of relativistic electrons in undulator magnets isdiscussed. The princip le of a low-gain free-electron laser is explained and the pendulum equations are introduced that characterize the electron dynamics in the field of a light wave. The differential equations of the high-gain FEL arederived from the Maxwell equations of elec trodynamics. Analytical and numerical solutions of the FEL equations are presented and important FEL parameters are defined, such as gain length, FEL bandwidth and saturation power. A detailednumerical study of the all-important microbunching process is p resented. The mechanism of Self Amplified Spontaneous Emission is described theoretically and illustrated with numerous experimental results. Three-dimensional effects suchas betatron oscillations and optical diffraction are addressed and their impact on the FEL performance is analyzed. The worlds first soft X-ray FEL, the user facility FLASH at DESY, is described in some detail in order to give animpression of the complexity of such an accelerator-based light source. Finally, the physical and technologic al challenges of X-ray FELs are addressed while some of the more involved calculations are put into the appendices, where alsosupplementary material can be found |
Note: | Springer eBooks |
Contents: | Introduction |
Undulator radiation | |
Low | |
gain FEL theory | |
One | |
dimensional theory of the high | |
gain FEL | |
Applications of the high | |
gain FEL equations | |
Refinements of the one | |
dimensional FEL theory | |
Self amplified spontaneous emission | |
The Ultraviolet and soft X | |
ray FEL in Hamburg | |
Physical and technological challenges of an X | |
ray FEL | |
Appendices A to H deal with: Hamiltonian formalism, low | |
gain limit of high | |
gain FEL theory, non | |
periodic first | |
order equations, Gaussian modes of laser beams, eigenmode approach, periodic current modulation resulting from shot noise, the gamma distribu | |
ISBN: | 9783540795728 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Tracts in Modern Physics, 0081-3869 : v229 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Condensed matter , Electromagnetism , Electrodynamics , Laser physics , Microwaves |
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Call number: | SPRINGER-2009-9783034600040:ONLINE Show nearby items on shelf |
Title: | Applied Pseudoanalytic Function Theory [electronic resource] |
Author(s): |
Vladislav V Kravchenko |
Date: | 2009 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is replaced by a much more general first-order system with variable coefficients whichturns out to be closel y related to important equations of mathematical physics. This relation supplies powerful tools for studying and solving Schrdinger, Dirac, Maxwell, Klein-Gordon and other equations with the aid ofcomplex-analytic methods. The book is dedicated to these r ecent developments in pseudoanalytic function theory and their applications as well as to multidimensional generalizations. It is directed to undergraduates, graduate studentsand researchers interested in complex-analytic methods, solution techniques for equations of mathematical physics, partial and ordinary differential equations |
Note: | Springer eBooks |
Contents: | Pseudoanalytic Function Theory and Second |
order Elliptic Equations | |
Definitions and Results from Bers Theory | |
Solutions of Second | |
order Elliptic Equations as Real Components of Complex Pseudoanalytic Functions | |
Formal Powers | |
Cauchys Integral Formula | |
Complex Riccati Equation | |
Applications to Sturm | |
Liouville Theory | |
A Representation for Solutions of the Sturm | |
Liouville Equation | |
Spectral Problems and Darboux Transformation | |
Applications to Real First | |
order Systems | |
Beltrami Fields | |
Static Maxwell System in Axially Symmetric Inhomogeneous Media | |
Hyperbolic Pseudoan | |
ISBN: | 9783034600040 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Frontiers in Mathematics, 1660-8046 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functions of complex variables , Operator theory , Differential equations, partial , Mathematical physics |
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Call number: | SPRINGER-2009-9780387095042:ONLINE Show nearby items on shelf |
Title: | Mathematical Methods [electronic resource] : For Students of Physics and Related Fields |
Author(s): |
Sadri Hassani |
Date: | 2009 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Intended to follow the usual introductory physics courses, this book has the unique feature of addressing the mathematical needs of sophomores and juniors in physics, engineering and other related fields. Many original, lucid,and relevant examples fr om the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts help guide the student through the material. Beginning with reviews of vector algebra and differential andintegral calculus, the book continues with infi nite series, vector analysis, complex algebra and analysis, ordinary and partial differential equations. Discussions of numerical analysis, nonlinear dynamics and chaos, and the Diracdelta function provide an introduction to modern topics in mathematical physics. This new edition has been made more user-friendly through organization into convenient, shorter chapters. Also, it includes an entirely new section onProbability and plenty of new material on tensors and integral transforms. Some praise for the p revious edition: The book has many strengths. For example: Each chapter starts with a preamble that puts the chapters in context. Often,the author uses physical examples to motivate definitions, illustrate relationships, or culminate the development of pa rticular mathematical strands. The use of Maxwell's equations to cap the presentation of vector calculus, adiscussion that includes some tidbits about what led Maxwell to the displacement current, is a particularly enjoyable example. Historical touches li ke this are not isolated cases the book includes a large number of notes on people andideas, subtly reminding the student that science and mathematics are continuing and fascinating human activities. --Physics Today Very well written (i.e., extremely read able), very well targeted (mainly to an average student ofphysics at a point of just leaving his/her sophomore level) and very well concentrated (to an author's apparently beloved subject of PDE's w |
Note: | Springer eBooks |
Contents: | Coordinates and Calculus |
Coordinate Systems and Vectors | |
Differentiation | |
Integration: Formalism | |
Integration: Applications | |
Dirac Delta Function | |
Algebra of Vectors | |
Planar and Spatial Vectors | |
Finite | |
Dimensional Vector Spaces | |
Vectors in Relativity | |
Infinite Series | |
Infinite Series | |
Application of Common Series | |
Integrals and Series as Functions | |
Analysis of Vectors | |
Vectors and Derivatives | |
Flux and Divergence | |
Line Integral and Curl | |
Applied Vector Analysis | |
Curvilinear Vector Analysis | |
Tensor Analysis | |
Complex Analysis | |
Complex Arithmetic | |
Co | |
ISBN: | 9780387095042 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematics , Mathematical physics |
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Call number: | SPRINGER-2008-9783540782773:ONLINE Show nearby items on shelf |
Title: | Mathematical Models of Granular Matter [electronic resource] |
Author(s): |
Gianfranco Capriz Paolo Maria Mariano Pasquale Giovine |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Granular matter displays a variety of peculiarities that distinguish it from other appearances studied in condensed matter physics and renders its overall mathematical modelling somewhat arduous. Prominent directions in themodelling granular flows ar e analyzed from various points of view. Foundational issues, numerical schemes and experimental results are discussed. The volume furnishes a rather complete overview of the current research trends in themechanics of granular matter. Various chapters intr oduce the reader to different points of view and related techniques. New models describing granular bodies as complex bodies are presented. Results on the analysis of the inelasticBoltzmann equations are collected in different chapters. Gallavotti-Cohen s ymmetry is also discussed |
Note: | Springer eBooks |
Contents: | From Granular Matter to Generalized Continuum |
Generalized Kinetic Maxwell Type Models of Granular Gases | |
Hydrodynamics from the Dissipative Boltzmann Equation | |
Bodies with Kinetic Substructure | |
From Extended Thermodynamics to Granular Materials | |
Influence of Contact Modelling on the Macroscopic Plastic Response of Granular Soils Under Cyclic Loading | |
Fluctuations in Granular Gases | |
An Extended Continuum Theory for Granular Media | |
Slow Motion in Granular Matter | |
ISBN: | 9783540782773 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v1937 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mathematical physics |
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Call number: | SPRINGER-2008-9783540775621:ONLINE Show nearby items on shelf |
Title: | From Hyperbolic Systems to Kinetic Theory [electronic resource] : A Personalized Quest |
Author(s): |
Luc Tartar |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Equations of state are not always effective in continuum mechanics. Maxwell and Boltzmann created a kinetic theory of gases, using classical mechanics. How could they derive the irreversible Boltzmann equation from a reversibleHamiltonian framework? By using probabilities, which destroy physical reality! Forces at distance are non-physical as we know from Poincar's theory of relativity. Yet Maxwell and Boltzmann only used trajectories like hyperbolas,reasonable for rarefied gases, but wrong without b ound trajectories if the mean free path between collisions tends to 0. Tartar relies on his H-measures, a tool created for homogenization, to explain some of the weaknesses, e.g.from quantum mechanics: there are no particles, so the Boltzmann equation and the second principle, can not apply. He examines modes used by energy, proves which equation governs each mode, and conjectures that the result will notlook like the Boltzmann equation, and there will be more modes than those indexed by velocity! |
Note: | Springer eBooks |
Contents: | Historical Perspective |
Hyperbolic Systems: Riemann Invariants, Rarefaction Waves | |
Hyperbolic Systems: Contact Discontinuities, Shocks | |
The Burgers Equation and the 1 | |
D Scalar Case | |
The 1 | |
D Scalar Case: the E | |
Conditions of Lax and of Oleinik | |
Hopf's Formulation of the E | |
Condition of Oleinik | |
The Burgers Equation: Special Solutions | |
The Burgers Equation: Small Perturbations the Heat Equation | |
Fourier Transform the Asymptotic Behaviour for the Heat Equation | |
Radon Measures the Law of Large Numbers | |
A 1 | |
D Model with Characteristic Speed 1/? | |
A 2 | |
D Generalization the Perr | |
ISBN: | 9783540775621 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes of the Unione Matematica Italiana, 1862-9113 : v6 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential equations, partial , Mathematical physics |
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Call number: | SPRINGER-2008-9783540737780:ONLINE Show nearby items on shelf |
Title: | Modeling and Computations in Electromagnetics [electronic resource] : A Volume Dedicated to Jean-Claude Ndlec |
Author(s): |
Habib Ammari |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Modeling and computations in electromagnetics is a quite novel and growing discipline, expanding as a result of the steadily increasing demand for designing electrical devices, modeling electromagnetic materials, and simulatingelectromagnetic fields in nanoscale structures. The aim of this volume is to bring together prominent worldwide experts to review state-of-the-art developments and future trends of modeling and computations in electromagnetics. Thisvolume is devoted to merging the expertise of scientists working in this dynamic discipline, and to raising interest for challenging issues. The most significant advances in computational techniques have been made only in the last fewyears, and several challenging technological applications are prese nted in this volume |
Note: | Springer eBooks |
Contents: | Stabilized FEMBEM Coupling for Maxwell Transmission Problems |
A Posteriori Error Analysis and Adaptive Finite Element Methods for Electromagnetic and Acoustic Problems | |
Time Domain Adaptive Integral Method for Surface Integral Equations | |
Local and Nonlocal Nonreflecting Boundary Conditions for Electromagnetic Scattering | |
High | |
Order Methods for High | |
Frequency Scattering Applications | |
Recent Studies on Inverse Medium Scattering Problems | |
Time Reversal of Electromagnetic Waves | |
Addition Theorem | |
ISBN: | 9783540737780 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Computational Science and Engineering, 1439-7358 : v59 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Mathematical physics , Electromagnetism |
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Call number: | SPRINGER-2007-9783540712930:ONLINE Show nearby items on shelf |
Title: | The Many Faces of Maxwell, Dirac and Einstein Equations [electronic resource] A Clifford Bundle Approach |
Author(s): |
Waldyr Alves Rodrigues Edmundo Capelas Oliveira |
Date: | 2007 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is a thoughtful exposition of the algebra and calculus of differential forms, the Clifford and Spin-Clifford bundles formalisms with emphasis in calculation procedures, and vistas to a formulation of some importantconcepts of differential g eometry necessary for a deep understanding of spacetime physics. The formalism discloses the hidden geometrical nature of spinor fields. Maxwell, Dirac and Einstein fields, which were originally consideredobjects of a very different mathematical nature, a re shown to have representatives as objects of the same mathematical nature, i.e. as sections of an appropriate Clifford bundle. This approach reveals unity in the diversity and alsothe many faces of the equations satisfied by those fields. Moreover, it s uggests relationships which are hidden in the standard formalisms and new paths for research. Some foundational issues of relativistic field theories, inparticular the one concerning the conditions for the existence of the conservation laws of energy-mome ntum and angular momentum in spacetime theories and many misconceptions concerning this issue is analyzed in details. The book willbe useful as reference book for researchers and advanced students of theoretical physics and mathematics. Calculation proced ures are illustrated by many exercises solved in detail, using the tricks of the trade. Furthermore thereaders will appreciate the comprehensive list of mathematical symbols as well as a list of acronyms and abbreviations |
Note: | Springer eBooks |
Contents: | Introduction |
Multiform and Extensor Calcula | |
The Hidden Geometrical Nature of Spinors | |
Some Differential Geometry | |
The Hidden Geometrical Nature of Spinors | |
Some Differential Geometry | |
Some Issues in Relativistic Spacetime Theories | |
Clifford and Dirac | |
Hestenes Spinor Fields | |
Lagrangian Formalism in Minkowski Spacetime | |
Conservation Laws on Riemann | |
Cartan and Lorentzian Spacetimes | |
The DHE on a RCS and the Meaning of Active Local Lorentz Invariance | |
Gravitational Theory in Minkowski Spacetime | |
On the Many Faces of Einstein`s Equations | |
Maxwell, Dirac and Seiberg | |
Witte | |
ISBN: | 9783540712930 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v722 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Global differential geometry , Mathematical physics , Relativity (Physics) |
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Call number: | SPRINGER-2007-9780387680187:ONLINE Show nearby items on shelf |
Title: | Physics of Classical Electromagnetism [electronic resource] |
Author(s): |
Minoru Fujimoto |
Date: | 2007 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The classical electromagnetism described by the Maxwell equations constitutes a fundamental law in contemporary physics. Even with the advent of sophisticated new materials, the principles of classical electromagnetism are stillactive in various appl ied areas in todays advanced communication techniques. Physics of Classical Electromagnetism, by Minoru Fujimoto, is written with concise introductory arguments emphasizing the original field concept, with anaim at understanding objectives in modern infor mation technology. Following basic discussions of electromagnetism with a modernized approach, this book will provide readers with an overview of current problems in high-frequencyphysics. To further the readers understanding of the concepts and applicati ons discussed, each illustration within the book shows the location of all active charges, and the author has provided many worked-out examples throughoutthe book. Physics of Classical Electromagnetism is intended for students in physics and engineering b ut will serve as a useful reference to graduate students and researchers in fields including but not limited to classicalelectrodynamics, electromagnetism, optics and lasers. Minoru Fujimoto is (retired) Professor of Physics at the University of Guelph, O ntario, Canada. He is also the author of The Physics of Structural Phase Transitions (Springer,2005) |
Note: | Springer eBooks |
Contents: | Preliminaries |
Currents and Voltages | |
Part One: Electrostatics: Static Force and Induction in Uniform Electric Fields | |
The Gauss Theorem and Insulators | |
Potentials and Boundary Conditions | |
Electric Dipole and Quadrupole Potentials | |
Part Two: Electromagnetism: Magnetic Fields of Magnets and Electric Currents | |
Electromagnetic Induction | |
Vector and Scalar Potentials | |
Some Soluble Problems | |
Inductances and Magnetic Energies | |
Oscillations and Alternating Currents | |
Part Three: Maxwells Equations and Electromagnetic Waves: High | |
Frequency Transmission | |
The Maxwell Equation | |
ISBN: | 9780387680187 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics , Electromagnetism , Electrodynamics , Physical optics , Microwaves |
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Call number: | SPRINGER-2006-9783540377252:ONLINE Show nearby items on shelf |
Title: | Hirarchie de modles en optique quantique [electronic resource] : De Maxwell-Bloch Schrdinger non-linaire |
Author(s): |
Brigitte Bidgaray-Fesquet |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Cet ouvrage prsente les modles d'interaction onde-matire faisant intervenir une description quantique de la matire (optique quantique), ainsi que des modles classiques qui en sont drivs. L'objectif est de dcrypterpour des lecteurs mathmaticiens ces m odles habituellement dcrits dans des livres de physique et de donner les rsultats mathmatiques et les mthodes numriques existants. Ces rsultats, reflets de sujets de rechercheactuels faisant intervenir des outils mathmatiques varis, sont dtaills pour tre accessibles des tudiants ayant un niveau DEA. Les parties numriques de ce livre peuvent galement intresser des physiciens dsiranteffectuer des simulations |
Note: | Springer eBooks |
Contents: | Le modle de Maxwell |
Bloch | |
Contexte physique | |
Modle physique | |
Analyse mathmatique | |
Simulations numriques | |
Une hirarchie de modles | |
Expression quantique de la polarisation : quations de taux | |
Expressions classiques de la polarisation | |
quations denveloppe | |
Considrations numriques | |
Discrtisation des quations de Bloch | |
Discrtisation des quations de Maxwell sur grilles dcales | |
Couplage Maxwell | |
Bloch | |
Modles classiques | |
ISBN: | 9783540377252 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathmatiques & Applications, 1154-483X : v49 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Numerical analysis , Quantum theory |
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Call number: | SPRINGER-2006-9780387472904:ONLINE Show nearby items on shelf |
Title: | Magneto-Fluid Dynamics [electronic resource] : Fundamentals and Case Studies of Natural Phenomena |
Author(s): |
Paul Lorrain Franois Lorrain Stphane Houle |
Date: | 2006 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book concerns the generation of electric currents and of electric space charges inside conducting media that move in magnetic fields. The authors postulate nothing but the Maxwell equations. They discuss at length the diskdynamo, which serves as a model for the natural self-excited dynamos that generate magnetic fields such as that of sunspots. There are 36 Examples and 13 Case Studies. The Case Studies concern solar phenomena -- magnetic elements,sunspots, spicules, coronal loops -- and the Ear th's magnetic field |
Note: | Springer eBooks |
Contents: | Historical Introduction |
The Maxwell Equations | |
Electric Fields | |
Constant Magnetic Fields | |
Time | |
dependent Magnetic Fields: The Law of Faraday | |
Ohm's Law for Moving Conductors | |
Charges Inside Moving Conductors | |
Nine Case Studies: Magnetic Fields in Moving Conductors | |
Case Study: The Azimuthal Magnetic Field in the Earth's Core | |
Case Study: The Disk Dynamo Model for Natural Dynamos | |
Two Case Studies: Magnetic Flux Tubes and Flux Ropes | |
The Magnetic Flux Tube as a Light Guide | |
Case Study: Solar Magnetic Elements | |
Case Study: Sunspots | |
Case Study: Solar Spicules | |
Case | |
ISBN: | 9780387472904 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Astronomy and Astrophysics Library, 0941-7834 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astronomy , Astrophysics , Plasma (Ionized gases) , Magnetism , Electrodynamics |
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Call number: | SPRINGER-2006-9780387380346:ONLINE Show nearby items on shelf |
Title: | Compatible Spatial Discretizations [electronic resource] |
Author(s): |
Douglas N Arnold Pavel B Bochev Richard B Lehoucq Roy A Nicolaides Mikhail Shashkov |
Date: | 2006 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The IMA Hot Topics workshop on compatible spatialdiscretizations was held May 11-15, 2004 at the University of Minnesota. The purpose of the workshop was to bring together scientists at the forefront of the research in thenumerical solution of PDEs t o discuss recent advances and novel applications of geometrical and homological approaches to discretization. This volume contains original contributions based on the material presented at the workshop. Aunique feature of the collection is the inclusion o f work that is representative of the recent developments in compatible discretizations across a wide spectrum of disciplines in computational science. Compatible spatialdiscretizations are those that inherit or mimic fundamental properties of the PDE such as topology, conservation, symmetries, and positivity structures and maximum principles. The papers in the volume offer a snapshot of the currenttrends and developments in compatible spatial discretizations. The reader will find valuable insights on spat ial compatibility from several different perspectives and important examples of applications compatible discretizations incomputational electromagnetics, geosciences, linear elasticity, eigenvalue approximations and MHD. The contributions collected in thi s volume will help to elucidate relations between different methods and concepts and to generallyadvance our understanding of compatible spatial discretizations for PDEs. Abstracts and presentation slides from the workshop can be accessed at http://www.im a.umn.edu/talks/workshops/5-11-15.2004/ |
Note: | Springer eBooks |
Contents: | Foreword |
Preface | |
Numerical Convergence of the MPFA O | |
method for General Quadrilateral Grids in Two and Three Dimensions | |
Differential Complexes and Stability of Finite Element Methods I. The de Rham Complex | |
Differential Complexes and Stability of Finite Element Methods II. The Elasticity Complex | |
On the Role of Involutions in the Discontinuous Galerkin Discretization of Maxwell and Magnetohydrodynamic Systems | |
Principles of Mimetic Discretizations of Differential Operators | |
Compatible Discretizations for Eigenvalue Problems | |
Conjugated Bubnov | |
Galerkin Infinite Element for Ma | |
ISBN: | 9780387380346 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | The IMA Volumes in Mathematics and its Applications, 0940-6573 : v142 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Numerical analysis |
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Call number: | SPRINGER-2005-9783540285229:ONLINE Show nearby items on shelf |
Title: | Relativistic Quantum Mechanics [electronic resource] |
Author(s): |
Hartmut M Pilkuhn |
Date: | 2005 |
Edition: | Second Edition |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In this book, quantum mechanics is developed from the outset on a relativistic basis, using the superposition principle, Lorentz invariance and gauge invariance. Nonrelativistic quantum mechanics as well as classical relativisticmechanics appear as s pecial cases. They are the sources of familiar names such as orbital angular momentum, spin-orbit coupling and magnetic moment for operators of the relativistic quantum formalism. The theory ofbinaries, in terms of differential equations, is treated for t he first time in this book. These have the mathematical structure of the corresponding one-body equations (Klein-Gordon for two spinless particles, Dirac for two spinorparticles) with a relativistically reduced mass. They allow the calculation of radiativ e corrections via the vector potential operator. This second edition of the successful textbook adds various new sections on relativistic quantumchemistry and on the relativistic treatment of the proton in hydrogen. Others chapters have been expanded, e.g . on hyperfinite interactions, or carefully revisited |
Note: | Springer eBooks |
Contents: | Maxwell and Schrdinger |
Lorentz, Pauli and Dirac | |
Quantum Fields and Particles | |
Scattering and Bound States | |
Hyperfine Shifts, Radiation, Quarks | |
ISBN: | 9783540285229 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Texts and Monographs in Physics, 0172-5998 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Plasma (Ionized gases) |
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Call number: | SPRINGER-2004-9783709106099:ONLINE Show nearby items on shelf |
Title: | Nonlinear Differential Equation Models |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (192 p.) |
Note: | 10.1007/978-3-7091-0609-9 |
Contents: | On the Curvature of the Free Boundary for the Obstacle Problem in Two Dimensions -- Nonlinear Free Boundary Problems with Singular SourceTerms -- Behavior of the Free Boundary Near Contact Poinstwith the Fxied Boundary for Nonlinear |
Elliptic Equations -- Global Solutions of an Obstacle-Problem-Like Equation with Two Phase -- Entropies and Equilibria of Many-Particle Systems: An Essay on RecentResearch -- On the Blow-Up Set for Ut = (um)xx m> 1, with Nonlinear | |
Boundary Conditions -- A Phase Plane Analysis of the “Multi-Bubbling” Phenomenon in Some Slightly Supercritical Equations -- The Dirichlet Problem for the Porous Medium Equation in Bounded Domains. Asymptotic Behavior -- A Note on | |
Deformations of 2D Fluid Motions Using 3D Born-Infeld Equations -- Kinetic Models for Chemotaxis and their Dr-ifDtiffusion Limits -- Rotating Charge Coupled to the Maxwell Field: Scattering Theory and Adiabatic Limit -- On Hyperbolic | |
Variational Inequalities of First Order and Some Application -- Kinetic and Hydrodynamic Models of Nearly Elastic Granular Flows | |
ISBN: | 9783709106099 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Partial differential equations , Mathematics , Partial Differential Equations |
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Call number: | SPRINGER-2004-9783642971235:ONLINE Show nearby items on shelf |
Title: | Physics of the Earth’s Space Environment An Introduction |
Author(s): |
Gerd W Prölss |
Date: | 2004 |
Size: | 1 online resource (513 p.) |
Note: | 10.1007/978-3-642-97123-5 |
Contents: | 1. Introduction -- 1.1 Definitions and Constraints -- 1.2 Scope and Organization of the Material -- 1.3 Brief History of Space Research -- 2. Neutral Upper Atmosphere -- 2.1 State Parameters of Gases and their Gas Kinetic |
Interpretation -- 2.2 Height Profiles of the State Parameters -- 2.3 Barospheric Density Distribution -- 2.4 Exospheric Density Distribution -- 3. Absorption of Solar Radiation Energy -- 3.1 Origin and Characteristics of Solar | |
Radiation -- 3.2 Extinction of Solar Radiation in the Upper Atmosphere -- 3.3 Heating and Temperature Profile -- 3.4 Thermospheric Winds -- 3.5 Atmospheric Waves -- 4. Ionosphere -- 4.1 Height Profile of Ionospheric State Parameters -- | |
4.2 Ionization Production and Loss -- 4.3 Density Profile in the Lower Ionosphere -- 4.4 Density Profile in the Upper Ionosphere -- 4.5 Density Maximum and Ionospheric Time Constants -- 4.6 Systematic Variations of the Ionization | |
Density -- 4.7 Radio waves in the Ionosphere -- 5. Magnetosphere -- 5.1 Fundamentals -- 5.2 The Geomagnetic Field Near the Earth -- 5.3 Charged Particle Motion in the Geomagnetic Field -- 5.4 Particle Populations in the Inner | |
Magnetosphere -- 5.5 The Distant Geomagnetic Field -- 5.6 Particle Populations in the Outer Magnetosphere -- 5.7 Magnetoplasma Waves in the Magnetosphere -- 6. Interplanetary Medium -- 6.1 The Solar Wind -- 6.2 Interplanetary Magnetic | |
Field -- 6.3 Magnetoplasma Waves in the Interplanetary Medium -- 6.4 Modification of the Solar Wind by the Bow Shock -- 6.5 Interaction of the Solar Wind with the Interstellar Medium -- 6.6 Energetic Particles in Interplanetary Space | |
-- 7. Absorption and Dissipation of Solar Wind Energy -- 7.1 Topology of the Polar Upper Atmosphere -- 7.2 Electric Fields and Plasma Convection -- 7.3 Ionospheric Conductivity and Currents -- 7.4 Aurorae -- 7.5 Neutral Atmospheric | |
Effects -- 7.6 Energy Transfer from Solar Wind to Magnetosphere -- 8. Geospheric Storms -- 8.1 Magnetic Storms -- 8.2 Auroral Substorms -- 8.3 Magnetospheric Substorms -- 8.4 Thermospheric Storms -- 8.5 Ionospheric Storms -- 8.6 The | |
Sun as the Origin of Geospheric Storms -- 8.7 Disturbance Effects on Technological Systems -- A. Formulas, Tables and Derivations -- A.l Selected Mathematical Formulas -- A.2 Physical Parameters of the Earth -- A.3 Planetary Data -- | |
A.4 Model Atmosphere -- A.5 Diffusion Equation for Gases -- A.6 Derivation of the Momentum Balance Equation -- A.7 Energy Balance Equation of an Adiabatic Gas Flow -- A.8 Bernoulh Equation -- A.9 Rankine-Hugoniot Equations -- A.10 | |
Maxwell Equations -- A. 11 Curvature of a Dipole Field Line -- A. 12 Gradient Drift Velocity -- A. 13 System of Equations for Ideal Magnetoplasmadynamics -- A.13.1 Balance Equations of a Magnetoplasma -- A. 13.2 Maxwell Equations and | |
the Generahzed Ohm’s Law -- A. 13.3 Validity Test of the Approximations -- A. 14 Two Theorems of Magnetoplasmadynamics -- A. 15 Magnetoplasma Waves -- A.15.1 Simplification of the System of Equations -- A.15.2 Wave Propagation Parallel | |
to a Magnetic Field -- A. 15.3 Wave Propagation Perpendicular to a Magnetic Field -- A.15.4 Validity Test of the Approximations -- A.16 Plasma Instabilities -- B. Figure and Table References | |
ISBN: | 9783642971235 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Geophysics , Atmospheric sciences , Space sciences , Physics , Extraterrestrial Physics, Space Sciences , Geophysics/Geodesy , Atmospheric Sciences |
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Call number: | SPRINGER-2004-9783642185601:ONLINE Show nearby items on shelf |
Title: | Conjugate Gradient Algorithms and Finite Element Methods |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (384 p.) |
Note: | 10.1007/978-3-642-18560-1 |
Contents: | The founders of the conjugate gradient method -- Conjugate gradients and finite elements — a golden jubilee -- Geometric interpretations of conjugate gradient and related methods -- The convergence of Krylov methods and Ritz values -- |
An application of the Shermann-Morrison formula to the GMRES method -- A parallel CG solver based on domain decomposition and non-smooth aggregation -- Deflation in preconditioned conjugate gradient methods for finite element problems | |
-- Nonsmooth equation method for nonlinear nonconvex optimization -- Nonstandard nonobtuse refinements of planar triangulations -- Acute versus nonobtuse tetrahedralizations -- A posteriori eror estimation of “quantities of interest” | |
on “quantity-adapted meshes” -- Inversion of block-tridiagonal matrices and nonnegativity preservation in the numerical solution of linear parabolic PDEs -- On the nonnegativity conservation in semidiscrete parabolic problems -- | |
Iterative solution methods of the Maxwell equations using staggered grid spatial discretization -- Iterative solution of linear variational problems in Hilbert spaces: Some conjugate gradients success stories -- On the application of | |
preconditioning operators for nonlinear elliptic problems -- On a conjugate gradient/Newton/penalty method for the solution of obstacle problems. Application to the solution of an eikonal system with Dirichlet boundary conditions -- | |
The use of bilinear rectangular elements in reconstruction of panoramic images -- Finite element discretization and iterative solution techniques for multiphase flows in gas-liquid reactors -- Implicit flux-corrected transport | |
algorithm for finite element simulation of the compressible Euler equations -- Application of the PCG method in solution of a nuclear reactor criticality problem | |
ISBN: | 9783642185601 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Computer mathematics , Fluids , Computational intelligence , Physics , Numerical and Computational Physics , Computational Science and Engineering , Fluid- and Aerodynamics , Computational Intelligence |
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Call number: | SPRINGER-2004-9783034879262:ONLINE Show nearby items on shelf |
Title: | Operator Theoretical Methods and Applications to Mathematical Physics The Erhard Meister Memorial Volume |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (475 p.) |
Note: | 10.1007/978-3-0348-7926-2 |
Contents: | Obituary -- Report on the Scientific International Relationsof the Research Group of E. Meister -- Curriculum Vitae -- Publications of Erhard Meister -- Supervision of PhD Dissertations -- In Memory of Erhard Meister -- Is |
Electromagnetism any Use? -- L. Meister How Could it Happen? -- Erhard Meister — Friend and Colleague -- Thank You — Erhard -- Our First Visit to Oberwolfach -- Our Meetings with Erhard Meister -- Some Canadian Collaboration -- | |
Reminiscenses of Erhard Meister at Saarbrücken and Berlin -- More than Forty Years with Erhard Meister -- Remembering Erhard Meister -- The Family Man -- Recalling Meetings with Erhard Meister -- A View from Scotland -- The Lisbon | |
Connection -- Prof. Meister’s Relations to Freiberg -- Quasistatic Problems in Viscoplasticity Theory I:Models with Linear Hardening -- Wiener-Hopf Determinants with Fisher-Hartwig Symbols -- Convolution Type Operators with Symbols | |
Generated by Slowly Oscillating and Piecewise Continuous Matrix Functions -- Asymptotically Good Pseudomodes for Toeplitz Matrices and Wiener-Hopf Operators -- Crack-type Boundary Value Problems of Electroelasticity -- On a Class of | |
Wedge Diffraction Problems Posted by Erhard Meister -- Corner Singularities of Maxwell Interface and Eddy Current Problems -- On Some Aspects of the Analysis of Incompressible Flow Through Cascades of Profiles -- On Inversion of | |
Convolution Integral Operators on a Finite Interval -- Some Algebras of Functions with Fourier Coefficients in Weighted Orlicz Sequence Spaces -- Invertibility at Infinity of Band-Dominated Operators on the Space of Essentially Bounded | |
Functions -- Half Plane Diffraction Problems Using Alternative Integral Representations -- The Integral Equation Method for Dipole Equilibrium -- Characterization of Multipliers in Pairs of Besov Spaces -- Boundary Variational | |
Inequalities in the Theory of Interface Crack Problems -- Limiting Absorption Principle for a Class of Difference Equations -- Fredholmness of Convolution Type Operators -- The Distribution of Eigenvalues of Some Fractal Elliptic | |
Operators and Weyl Measures | |
ISBN: | 9783034879262 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Operator Theory: Advances and Applications : 147 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Functional analysis , Operator theory , Applied mathematics , Engineering mathematics , Physics , Mathematics , Operator Theory , Physics, general , Applications of Mathematics , Analysis , Functional Analysis , Mathematical Methods in Physics |
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Call number: | SPRINGER-2004-9780817681661:ONLINE Show nearby items on shelf |
Title: | Analysis of Dirac Systems and Computational Algebra |
Author(s): |
Fabrizio Colombo |
Date: | 2004 |
Size: | 1 online resource (332 p.) |
Note: | 10.1007/978-0-8176-8166-1 |
Contents: | 1 Background Material -- 1.1 Algebraic tools -- 1.2 Analytical tools -- 1.3 Elements of hyperfunction theory -- 1.4 Appendix: category theory -- 2 Computational Algebraic Analysis -- 2.1 A primer of algebraic analysis -- 2.2 The |
Ehrenpreis-Palamodov Fundamental Principle -- 2.3 The Fundamental Principle for hyperfunctions -- 2.4 Using computational algebra software -- 3 The Cauchy-Fueter System and its Variations -- 3.1 Regular functions of one quaternionic | |
variable -- 3.2 Quaternionic hyperfunctions in one variable -- 3.3 Several quaternionic variables: analytic approach -- 3.4 Several quaternionic variables: an algebraic approach -- 3.5 The Moisil-Theodorescu system -- 4 Special First | |
Order Systems in Clifford Analysis -- 4.1 Introduction to Clifford algebras -- 4.2 Introduction to Clifford analysis -- 4.3 The Dirac complex for two, three and four operators -- 4.4 Special systems in Clifford analysis -- 5 Some First | |
Order Linear Operators in Physics -- 5.1 Physics and algebra of Maxwell and Proca fields -- 5.2 Variations on Maxwell system in the space of biquaternions -- 5.3 Properties of DZ-regular functions -- 5.4 The Dirac equation and the | |
linearization problem -- 5.5 Octonionic Dirac equation -- 6 Open Problems and Avenues for Further Research -- 6.1 The Cauchy-Fueter system -- 6.2 The Dirac system -- 6.3 Miscellanea | |
ISBN: | 9780817681661 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Mathematical Physics : 39 |
Keywords: | Mathematics , Algebra , Matrix theory , Partial differential equations , Physics , Mathematics , Algebra , Partial Differential Equations , Linear and Multilinear Algebras, Matrix Theory , Mathematical Methods in Physics , Numerical and Computational Physics |
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Call number: | SPRINGER-2003-9783642557453:ONLINE Show nearby items on shelf |
Title: | Computational Electromagnetics Proceedings of the GAMM Workshop on Computational Electromagnetics, Kiel, Germany, January 26–28, 2001 |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (4 p.) |
Note: | 10.1007/978-3-642-55745-3 |
Contents: | Gauged Current Vector Potential and Reentrant Corners in the FEM Analysis of 3D Eddy Currents -- Finite Elements for the Time Harmonic Maxwell’s Equations -- Trace Theorems on Non-Smooth Boundaries for Functional Spaces Related to |
Maxwell Equations: an Overview -- Applications of the Mortar Element Method to 3D Electromagnetic Moving Structures -- Numerical Stability of Collocation Schemes for Time Domain Boundary Integral Equations -- hp-Adaptive Finite | |
Elements for Maxwell’s Equations -- Coupled Calculation of Eigenmodes -- Boundary Element Methods for Eddy Current Computation -- A Simple Proof of Convergence for an Edge Element Discretization of Maxwell’s Equations -- The | |
Time-Harmonic Eddy-Current Problem in General Domains: Solvability via Scalar Potentials -- Finite Element Micromagnetics -- Finite Integration Method and Discrete Electromagnetism -- Appendix. Color Plates | |
ISBN: | 9783642557453 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Computational Science and Engineering: 28 |
Keywords: | Physics , Applied mathematics , Engineering mathematics , Computer mathematics , Numerical analysis , Optics , Electrodynamics , Physics , Optics and Electrodynamics , Applications of Mathematics , Computational Science and Engineering , Numerical Analysis , Appl.Mathematics/Computational Methods of Engineering |
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Call number: | SPRINGER-2003-9783642557293:ONLINE Show nearby items on shelf |
Title: | Mathematical Concepts of Quantum Mechanics |
Author(s): |
Stephen J Gustafson |
Date: | 2003 |
Size: | 1 online resource (253 p.) |
Note: | 10.1007/978-3-642-55729-3 |
Contents: | 1 Physical Background -- 1.1 The Double-Slit Experiment -- 1.2 Wave Functions -- 1.3 State Space -- 1.4 The Schrödinger Equation -- 1.5 Mathematical Supplement: Operators on Hilbert Spaces -- 2 Dynamics -- 2.1 Conservation of |
Probability -- 2.2 Existence of Dynamics -- 2.3 The Free Propagator -- 2.4 Mathematical Supplement: Operator Adjoints -- 2.5 Mathematical Supplement: the Fourier Transform -- 3 Observables -- 3.1 Mean Values and the Momentum Operator | |
-- 3.2 Observables -- 3.3 The Heisenberg Representation -- 3.4 Quantization -- 3.5 Pseudodifferential Operators -- 4 The Uncertainty Principle -- 4.1 The Heisenberg Uncertainty Principle -- 4.2 A Refined Uncertainty Principle -- 4.3 | |
Application: Stability of Hydrogen -- 5 Spectral Theory -- 5.1 The Spectrum of an Operator -- 5.2 Functions of Operators and the Spectral Mapping Theorem -- 5.3 Applications to Schrödinger Operators -- 5.4 Spectrum and Evolution -- 5.5 | |
Variational Characterization of Eigenvalues -- 5.6 Number of Bound States -- 5.7 Mathematical Supplement: Integral Operators -- 6 Scattering States -- 6.1 Short-range Interactions: µ > 1 -- 6.2 Long-range Interactions: µ ? 1 -- 6.3 | |
Existence of Wave Operators -- 7 Special Cases -- 7.1 The Infinite Well -- 7.2 The Torus -- 7.3 A Potential Step -- 7.4 The Square Well -- 7.5 The Harmonic Oscillator -- 7.6 A Particle on a Sphere -- 7.7 The Hydrogen Atom -- 7.8 A | |
Particle in an External EM Field -- 8 Many-particle Systems -- 8.1 Quantization of a Many-particle System -- 8.2 Separation of the Centre-of-mass Motion -- 8.3 Break-ups -- 8.4 The HVZ Theorem -- 8.5 Intra- vs. Inter-cluster Motion -- | |
8.6 Existence of Bound States for Atoms and Molecules -- 8.7 Scattering States -- 8.8 Mathematical Supplement: Tensor Products -- 9 Density Matrices -- 9.1 Introduction -- 9.2 States and Dynamics -- 9.3 Open Systems -- 9.4 The | |
Thermodynamic Limit -- 9.5 Equilibrium States -- 9.6 The T ? 0 Limit -- 9.7 Example: a System of Harmonic Oscillators -- 9.8 A Particle Coupled to a Reservoir -- 9.9 Quantum Systems -- 9.10 Problems -- 9.11 Hilbert Space Approach -- | |
9.12 Appendix: the Ideal Bose Gas -- 9.13 Appendix: Bose-Einst ein Condensation -- 9.14 Mathematical Supplement: the Trace, and Trace Class Operators -- 10 The Feynman Path Integral -- 10.1 The Feynman Path Integral -- 10.2 | |
Generalizations of the Path Integral -- 10.3 Mathematical Supplement: the Trotter Product Formula -- 11 Quasi-classical Analysis -- 11.1 Quasi-classical Asymptotics of the Propagator -- 11.2 Quasi-classical Asymptotics of Green’s | |
Function -- 11.3 Bohr-Sommerfeld Semi-classical Quantization -- 11.4 Quasi-classical Asymptotics for the Ground State Energy -- 11.5 Mathematical Supplement: Operator Determinants -- 12 Mathematical Supplement: the Calculus of | |
Variations -- 12.1 Functionals -- 12.2 The First Variation and Critical Points -- 12.3 Constrain ed Variational Problems -- 12.4 The Second Variation -- 12.5 Conjugate Points and Jacobi Fields -- 12.6 The Action of the Critical Path -- | |
12.7 Appendix: Connection to Geodesics -- 13 Resonances -- 13.1 Tunneling and Resonances -- 13.2 The Free Resonance Energy -- 13.3 Instantons -- 13.4 Positive Temperatures -- 13.5 Pre-exponential Factor for the Bounce -- 13.6 | |
Contribution of the Zero-mode -- 13.7 Bohr-Sommerfeld Quantization for Resonances -- 14 Introduction to Quantum Field Theory -- 14.1 The Place of QFT -- 14.2 Klein-Gordon Theory as a Hamiltonian System -- 14.3 Maxwell’s Equations as a | |
Hamiltonian System -- 14.4 Quantization of the Klein-Gordon and Maxwell Equations -- 14.5 Fock Space -- 14.6 Generalized Free Theory -- 14.7 Interactions -- 14.8 Quadratic Approximation -- 15 Quantum Electrodynamics of Non-relativistic | |
Particles: the Theory of Radiation -- 15.1 The Hamiltonian -- 15.2 Perturbation Set-up -- 15.3 Results -- 15.4 Mathematical Supplements -- 16 Supplement: Renormalization Group -- 16.1 The Decimation Map -- 16.2 Relative Bounds -- 16.3 | |
Elimination of Particle and High Photon Energy Degrees of Freedom -- 16.4 Generalized Normal Form of Operators on Fock Space -- 16.5 The Hamiltonian H0(?, z) -- 16.6 A Banach Space of Operators -- 16.7 Rescaling -- 16.8 The | |
Renormalization Map -- 16.9 Linearized Flow -- 16.10 Central-stable Manifold for RG and Spectra of Hamiltonians -- 16.11 Appendix -- 17 Comments on Missing Topics, Literature, and Further Reading -- References | |
ISBN: | 9783642557293 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Functional analysis , Physics , Quantum physics , Mathematics , Functional Analysis , Theoretical, Mathematical and Computational Physics , Quantum Physics |
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Call number: | SPRINGER-2003-9783642555220:ONLINE Show nearby items on shelf |
Title: | Computer Simulation Studies in Condensed-Matter Physics XV Proceedings of the Fifteenth Workshop Athens, GA, USA, March 11–15, 2002 |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (222 p.) |
Note: | 10.1007/978-3-642-55522-0 |
Contents: | 1 Computer Simulation Studies in Condensed Matter Physics: An Introduction -- I Magnetism -- 2 Low-Temperature Metastability: Prefactors, Divergences, and Discontinuities -- 3 Fine-Grid Simulations of Thermally Activated Switching in |
Nanoscale Magnets -- 4 Determining the Saddle Point in Micromagnetic Models of Magnetization Switching -- 5 Macroscopic Magnetization Jumps in Strongly Frustrated Quantum Spin Lattices -- 6 Nonequilibrium Relaxation Study on the | |
Ferromagnetic Transition of Ising Spin Glass Model -- 7 Nonequilibrium Relaxation Analysis of Frustrated XY Models in Two Dimensions -- 8 First Principles Calculations of the Magnetic Structure in FeMn/Co Bilayers -- II Quantum Systems | |
-- 9 Phase Transitions and Quantum Effects in Pore Condensates -- 10 Polynomial Expansion Method for the Monte Carlo Calculation of Strongly Correlated Electron Systems -- 11 Prom Frustrated Ising Models to Quantum Computing -- 12 | |
Parallel Quantum Monte Carlo Simulation of S = 3 Antiferromagnetic Heisenberg Chain -- 13 Melting of Stripes in a Two-Dimensional Hard-Core Boson Hubbard Model -- 14 A Microscopic Approach to the Mott-Hubbard Gap -- 15 Two Quantum | |
Cluster Approximations -- III Materials Properties -- 16 Asymptotic Behavior of a Strain Percolation Model for a Deforming Metal -- 17 Calculation of Static and Thermal Displacements in Metallic Alloys -- 18 Monte Carlo Simulation of | |
the Surface Structure of Ge on Si(001) -- IV Liquids and Colloids -- 19 Simulating Semiconductor Liquids with Ab Initio Pseudopotentials and Quantum Forces -- 20 Mapping Molecular Simulations to Continuum Models for Binary Fluids -- 21 | |
Electrokinetic Phenomena Revisited: A Lattice—Boltzmann Approach -- V Methods and Algorithms -- 22 Binary Tree Summation Monte Carlo Method for Potts Models -- 23 Probability-Changing Cluster Algorithm for Two-Dimensional Systems with | |
the Vector Order Parameter -- 24 Flat Histogram Method of Wang-Landau and N-Fold Way -- 25 Solving the Time-Dependent Maxwell Equations by Unconditionally Stable Algorithms -- 26 Chebyshev Method to Solve the Time-Dependent Maxwell | |
Equations -- 27 Statistical Mechanics of Classical Distinguishable Particles -- List of Contributors | |
ISBN: | 9783642555220 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Proceedings in Physics: 90 |
Keywords: | Physics , Computer simulation , Condensed matter , Physics , Condensed Matter Physics , Simulation and Modeling , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-2003-9783642554834:ONLINE Show nearby items on shelf |
Title: | Topics in Computational Wave Propagation Direct and Inverse Problems |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (9 p.) |
Note: | 10.1007/978-3-642-55483-4 |
Contents: | New Results on Absorbing Layers and Radiation Boundary Conditions -- Fast, High-Order, High-Frequency Integral Methods for Computational Acoustics and Electromagnetics -- Galerkin Boundary Element Methods for Electromagnetic |
Scattering -- Computation of resonance frequencies for Maxwell equations in non-smooth domains -- hp-Adaptive Finite Elements for Time-Harmonic Maxwell Equations -- Variational Methods for Time-Dependent Wave Propagation Problems -- | |
Some Numerical Techniques for Maxwell’s Equations in Different Types of Geometries -- On Retarded Potential Boundary Integral Equations and their Discretisation -- Inverse Scattering Theory for Time-Harmonic Waves -- Herglotz Wave | |
Functions in Inverse Electromagnetic Scattering Theory -- Appendix: Colour Figures | |
ISBN: | 9783642554834 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Computational Science and Engineering: 31 |
Keywords: | Mathematics , Earth sciences , Mathematical analysis , Analysis (Mathematics) , Computer mathematics , Mathematics , Analysis , Computational Mathematics and Numerical Analysis , Earth Sciences, general |
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Call number: | SPRINGER-2002-9783662047026:ONLINE Show nearby items on shelf |
Title: | Statistical Mechanics |
Author(s): |
Franz Schwabl |
Date: | 2002 |
Size: | 1 online resource (574 p.) |
Note: | 10.1007/978-3-662-04702-6 |
Contents: | 1. Basic Principles -- 2. Equilibrium Ensembles. -- 3. Thermodynamics -- 4. Ideal Quantum Gases -- 5. Real Gases, Liquids, and Solutions -- 6. Magnetism -- 7. Phase Transitions, Renormalization Group Theory, and Percolation -- 8. |
Brownian Motion, Equations of Motion and the Fokker-Planck Equations -- 9. The Boltzmann Equation -- 10. Irreversibility and the Approach to Equilibrium -- Appendix. -- A. Nernst’s Theorem (Third Law). -- A.1 Preliminary Remarks on the | |
Historical Development of Nernst’s Theorem -- A.2 Nernst’s Theorem and its Thermodynamic Consequences -- A.3 Residual Entropy, Metastability, etc. -- B. The Classical Limit and Quantum Corrections -- B.1 The Classical Limit. -- B.2 | |
Calculation of the Quantum-Mechanical Corrections -- C. The Perturbation Expansion -- D. The Riemann ?-Function and the Bernoulli Numbers -- E. Derivation of the Ginzburg—Landau Functional -- F. The Transfer Matrix Method. -- G. | |
Integrals Containing the Maxwell Distribution -- H. Hydrodynamics -- H.1 Hydrodynamic Equations, Phenomenological Discussion -- H.2 The Kubo Relaxation Function. -- H.3 The Microscopic Derivation of the Hydrodynamic Equations -- I. | |
Units and Tables | |
ISBN: | 9783662047026 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Quantum physics , Thermodynamics , Condensed matter , Quantum computers , Spintronics , Statistical physics , Dynamical systems , Physics , Condensed Matter Physics , Thermodynamics , Quantum Physics , Quantum Information Technology, Spintronics , Statistical Physics, Dynamical Systems and Complexity |
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Call number: | SPRINGER-2002-9783642561184:ONLINE Show nearby items on shelf |
Title: | Recent Developments in Domain Decomposition Methods |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (10 p.) |
Note: | 10.1007/978-3-642-56118-4 |
Contents: | A Blended Fictitious/Real Domain Decomposition Method for Partially Axisymmetric Exterior Helmholtz Problems with Dirichlet Boundary -- Dual-Primal FETI Methods with Face Constraints -- A FETI — DP Method for a Mortar Discretization |
of Elliptic Problems -- Balancing Neumann-Neumann Methods for Mixed Approximations of Linear Elasticity -- Partition of Unity Coarse Spaces and Schwarz Methods with Harmonic Overlap -- Convergence of Some Two-Level Overlapping Domain | |
Decomposition Preconditioners with Smoothed Aggregation Coarse Spaces -- Wavelet/FEM Coupling by the Mortar Method -- Non-Conforming hp Finite Element Methods for Stokes Problems -- A Defect Correction Method for Multi-Scale Problems | |
in Computational Aeroacoustics -- Domain Decomposition Methods for Time-Harmonic Maxwell Equations: Numerical Results -- Iterated Frequency Filtering Preconditioners -- A “Parareal” Time Discretization for Non-Linear PDE’s with | |
Application to the Pricing of an American Put -- The Influence of Quadrature Formulas in 2D and 3D Mortar Element Methods -- Portable Efficient Solvers for Adaptive Finite Element Simulations of Elastostatics in Two and Three | |
Dimensions | |
ISBN: | 9783642561184 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Computational Science and Engineering: 23 |
Keywords: | Computer science , Computer hardware , Numerical analysis , Applied mathematics , Engineering mathematics , Computer Science , Computer Hardware , Numerical Analysis , Appl.Mathematics/Computational Methods of Engineering |
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Call number: | SPRINGER-2002-9781461200611:ONLINE Show nearby items on shelf |
Title: | Kinetic Theory and Fluid Dynamics |
Author(s): |
Yoshio Sone |
Date: | 2002 |
Size: | 1 online resource (353 p.) |
Note: | 10.1007/978-1-4612-0061-1 |
Contents: | 1 Introduction -- 2 Boltzmann Equation -- 2.1 Velocity distribution function and macroscopic variables -- 2.2 Boltzmann equation -- 2.3 Conservation equations -- 2.4 Maxwell distribution (Equilibrium distribution) -- 2.5 Mean free |
path -- 2.6 Boundary condition -- 2.7 H theorem -- 2.8 Model equation -- 2.9 Nondimensional expressions I -- 2.10 Nondimensional expressions II -- 2.11 Linearized Boltzmann equation -- 2.12 Boltzmann equation in the cylindrical and | |
spherical coordinate systems -- 3 Linear Theory — Small Reynolds Numbers -- 3.1 Problem -- 3.2 Grad—Hilbert solution and fluid-dynamic-type equations -- 3.3 Stress tensor and heat-flow vector of the Grad—Hilbert solution -- 3.4 | |
Analysis of the Knudsen layer -- 3.5 Slip condition and Knudsen-layer correction -- 3.6 Determination of macroscopic variables -- 3.7 Discontinuity of the velocity distribution function and S layer. -- 3.8 Force and mass and energy | |
transfers on a closed body -- 3.9 Viscosity and thermal conductivity -- 3.10 Summary of the asymptotic theory -- 3.11 Applications -- 4 Weakly Nonlinear Theory — Finite Reynolds Numbers -- 4.1 Problem -- 4.2 S solution -- 4.3 | |
Fluid-dynamic-type equations -- 4.4 Knudsen-layer analysis -- 4.5 Slip condition and Knudsen layer -- 4.6 Determination of macroscopic variables -- 4.7 Rarefaction effect -- 4.8 Force and mass and energy transfers on a closed body -- | |
4.9 Summary of the asymptotic theory and a comment on a time-dependent problem -- 4.10 Applications -- 5 Nonlinear Theory I — Finite Temperature Variations and Ghost Effect -- 5.1 Problem -- 5.2 SB solution -- 5.3 Fluid-dynamic-type | |
equations -- 5.4 Knudsen layer and slip condition -- 5.5 Determination of macroscopic variables -- 5.6 Ghost effect: Incompleteness of the system of the classical gas dynamics -- 5.7 Half-space problem of evaporation and condensation | |
-- 6 Nonlinear Theory II - Flow with a Finite Mach Number around a Simple Boundary -- 6.1 Problem -- 6.2 Hilbert solution -- 6.3 Viscous boundary-layer solution -- 6.4 Knudsen-layer solution and slip condition -- 6.5 Connection of | |
Hilbert and viscous boundary-layer solutions. -- 6.6 Recipe for construction of solution -- 6.7 Discussions -- 7 Nonlinear Theory III — Finite Speed of Evaporation and Condensation -- 7.1 Problem -- 7.2 Hilbert solution -- 7.3 Knudsen | |
layer -- 7.4 Half-space problem of evaporation and condensation -- 7.5 System of equations and boundary conditions in the continuum limit -- 7.6 Generalized kinetic boundary condition -- 7.7 Boundary-condition functions $$ h_1 \left( | |
{M_n } \right),h_2 \left( {M_n } \right),F_s \left( {M_n ,\overline M _t ,{T \mathord{\left/ {\vphantom {T {T_w }}} \right. \kern-\nulldelimiterspace} {T_w }}} \right) $$ and $$ F_b \left( {M_n ,\overline M _t ,{T \mathord{\left/ | |
{\vphantom {T {T_w }}} \right. \kern-\nulldelimiterspace} {T_w }}} \right) $$ -- 7.8 Applications -- 8 Bifurcation of Cylindrical Couette Flow with Evaporation -- 8.1 Problem -- 8.2 Solution type I -- 8.3 Solution type II -- 8.4 | |
Bifurcation diagram and transition solution -- 8.5 Discussions for the other parameter range -- 8.6 Concluding remark and supplementary comment -- A Supplementary Explanations and Formulas -- A.1 Formal derivation of the Boltzmann | |
equation from the Liouville equation -- A.3 Derivation of the Stokes set of equations -- A.4 Golse’s theorem on a one-way flow -- A.6 Viscosity and thermal conductivity -- A.9 Equation for the Knudsen layer and Bardos’s theorem -- A.10 | |
The boundary condition for the linearized Euler set of equations -- B Spherically Symmetric Field of Symmetric Tensor -- B.1 Problem -- B.3.1 Preparation -- B.3.3 Summary -- B.4 Applications -- B.4.2 Axially symmetric field -- C | |
Kinetic-Equation Approach to Fluid-Dynamic Equations -- C.1 Introduction -- C.2 Exact kinetic-equation approach -- C.3 Discussion on numerical systems | |
ISBN: | 9781461200611 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Partial differential equations , Applied mathematics , Engineering mathematics , Computer mathematics , Continuum physics , Fluid mechanics , Physics , Classical Continuum Physics , Applications of Mathematics , Partial Differential Equations , Computational Mathematics and Numerical Analysis , Engineering Fluid Dynamics |
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Call number: | SPRINGER-2002-9780306470967:ONLINE Show nearby items on shelf |
Title: | Applied Nonlinear Analysis |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (548 p.) |
Note: | 10.1007/b114992 |
Contents: | On the Regularity and Decay of the Weak Solutions to the Steady-State Navier-Stokes Equations in Exterior Domains -- A Note on Turbulence Modeling -- L2,?-Regularity for Nonlinear Elliptic Systems of Second Order -- On the Fredholm |
Alternative for Nonlinear Homogeneous Operators -- Existence of Solutions to a Nonlinear Coupled Thermo-Viscoelastic Contact Problem with Small Coulomb Friction -- On Some Global Existence Theorems for a Semilinear Parabolic Problem -- | |
Bifurcation of Solutions to Reaction-Diffusion Systems with Jumping Nonlinearities -- Coupled Problems for Viscous Incompressible Flow in Exterior Domains -- Remarks on the Determinant in Nonlinear Elasticity and Fracture Mechanics -- | |
On Modelling of Czochralski Flow, the Case of Non Plane Free Surface -- Symmetric Stationary Solutions to the Plane Exterior Navier-Stokes Problem for Arbitrary Large Reynolds Number -- A Fictitious-Domain Method with Distributed | |
Multiplier for the Stokes Problem -- Reliable Solution of a Unilateral Contact Problem with Friction, Considering Uncertain Input Data -- Domain Decomposition Algorithm for Computer Aided Design -- Solution of Convection-Diffusion | |
Problems with the Memory Terms -- On Global Existence of Smooth Two-Dimensional Steady Flows for a Class of Non-Newtonian Fluids under Various Boundary Conditions -- Viscosity Solutions for Degenerate and Nonmonotone Elliptic Equations | |
-- Remarks on Compactness in the Formation of Fine Structures -- Finite Element Analysis of a Nonlinear Elliptic Problem with a Pure Radiation Condition -- Estimates of Three-Dimensional Oseen Kernels in Weighted LP Spaces -- Hardy’s | |
Inequality and Spectral Problems of Nonlinear Operators -- Remarks on the Regularity of Solutions of Elliptic Systems -- Singular Perturbations in Optimal Control Problem -- Optimization of Steady Flows for Incompressible Viscous | |
Fluids -- Asymptotic Behaviour of Compressible Maxwell Fluids in Exterior Domains -- Regularity of a Suitable Weak Solution to the Navier-Stokes Equations as a Consequence of Regularity of One Velocity Component -- On a Class of High | |
Resolution Methods for Solving Hyperbolic Conservation Laws with Source Terms -- On the Decay to Zero of the L2-Norms of Perturbations to a Viscous Compressible Fluid Motion Exterior to a Compact Obstacle -- Global Behavior of | |
Compressible Fluid with a Free Boundary and Large Data -- A Geometric Approach to Dynamical Systems in ?N -- On a Three-Dimensional Convective Stefan Problem for a Non-Newtonian Fluid -- Replacing H by H2 -- Flow of Shear Dependent | |
Electrorheological Fluids: Unsteady Space Periodic Case -- On Decay of Solustions to the Navier-Stokes Equations -- Convexity Conditions for Rotationally Invariant Functions in Two Dimensions -- Hölder Continuity of Weak Solutions to | |
Certain Nonlinear Parabolic Systems in Two Space Dimensions | |
ISBN: | 9780306470967 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Numerical analysis , Mathematical analysis , Analysis (Mathematics) , Functional analysis , Partial differential equations , Mechanics , Mathematics , Analysis , Partial Differential Equations , Functional Analysis , Mechanics , Numeric Computing |
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Call number: | SPRINGER-2001-9783709162347:ONLINE Show nearby items on shelf |
Title: | Relativity, Groups, Particles Special Relativity and Relativistic Symmetry in Field and Particle Physics |
Author(s): |
Roman U Sexl |
Date: | 2001 |
Edition: | 1 |
Size: | 1 online resource (388 p.) |
Note: | 10.1007/978-3-7091-6234-7 |
Contents: | 1 The Lorentz Transformation -- 1.1 Inertial Systems -- 1.2 The Principle of Relativity -- 1.3 Consequences from the Principle of Relativity -- Appendix 1: Reciprocity of Velocities -- Appendix 2: Some Orthogonal Concomitants of |
Vectors -- 1.4 Invariance of the Speed of Light. Lorentz Transformation -- 1.5 The Line Element -- 1.6 Michelson, Lorentz, Poincare, Einstein -- 2 Physical Interpretation -- 2.1 Geometric Representation of Lorentz Transformations -- | |
2.2 Relativity of Simultaneity. Causality -- 2.3 Faster than Light -- 2.4 Lorentz Contraction -- 2.5 Retardation Effects: Invisibility of Length Contraction and Apparent Superluminal Speeds -- 2.6 Proper Time and Time Dilation -- 2.7 | |
The Clock or Twin Paradox -- 2.8 On the Influence of Acceleration upon Clocks -- 2.9 Addition of Velocities -- 2.10 Thomas Precession -- 2.11 On Clock Synchronization -- 3 Lorentz Group, Poincare Group, and Minkowski Geometry -- 3.1 | |
Lorentz Group and Poincare Group -- 3.2 Minkowski Space. Four-Vectors -- 3.3 Passive and Active Transformations. Reversals -- 3.4 Contravariant and Covariant Components. Fields -- 4 Relativistic Mechanics -- 4.1 Kinematics -- Appendix: | |
Geometry of Relativistic Velocity Space -- 4.2 Collision Laws. Relativistic Mass Increase -- 4.3 Photons: Doppler Effect and Compton Effect -- 4.4 Conversion of Mass into Energy. Mass Defect -- 4.5 Relativistic Phase Space -- Appendix: | |
Invariance of Rn(q) -- 5 Relativistic Electrodynamics -- 5.1 Forces -- 5.2 Covariant Maxwell Equations -- 5.3 Lorentz Force -- 5.4 Tensor Algebra -- 5.5 Invariant Tensors, Metric Tensor -- 5.6 Tensor Fields and Tensor Analysis -- 5.7 | |
The Full System of Maxwell Equations. Charge Conservation -- 5.8 Discussion of the Transformation Properties -- 5.9 Conservation Laws. Stress-Energy-Momentum Tensor -- 5.10 Charged Particles -- 6 The Lorentz Group and Some of Its | |
Representations -- 6.1 The Lorentz Group as a Lie Group -- 6.2 The Lorentz Group as a Quasidirect Product -- 6.3 Some Subgroups of the Lorentz Group -- Appendix 1: Active Lorentz Transformations -- Appendix 2: Simplicity of the Lorentz | |
Group L++ -- 6.4 Some Representations of the Lorentz Group -- 6.5 Direct Sums and Irreducible Representations -- 6.6 Schur’s Lemma -- 7 Representation Theory of the Rotation Group -- 7.1 The Rotation Group SO(3,R) -- 7.2 Infinitesimal | |
Transformations -- 7.3 Lie Algebra and Representations of SO(3) -- 7.4 Lie Algebras of Lie Groups -- 7.5 Unitary Irreducible Representations of SO(3) -- 7.6 SU(2), Spinors, and Representation of Finite Rotations -- 7.7 Representations | |
on Function Spaces -- 7.8 Description of Particles with Spin -- 7.9 The Full Orthogonal Group 0(3) -- 7.10 On Multivalued and Ray Representations -- 8 Representation Theory of the Lorentz Group -- 8.1 Lie Algebra and Representations of | |
L++ -- 8.2 The Spinor Representation -- 8.3 Spinor Algebra -- Appendix: Determination of the Lower Clebsch-Gordan Terms -- 8.4 The Relation between Spinors and Tensors -- Appendix 1: Spinors and Lightlike 4-Vectors -- Appendix 2: | |
Intrinsic Classification of Lorentz Transformations -- 8.5 Representations of the Full Lorentz Group -- 9 Representation Theory of the Poincaré Group -- 9.1 Fields and Field Equations. Dirac Equation -- Appendix: Dirac Spinors and | |
Clifford-Dirac Algebra -- 9.2 Relativistic Covariance in Quantum Mechanics -- 9.3 Lie Algebra and Invariants of the Poincare Group -- 9.4 Irreducible Unitary Representations of the Poincare Group -- 9.5 Representation Theory of P++ and | |
Local Field Equations -- 9.6 Irreducible Semiunitary Ray Representations of P -- 10 Conservation Laws in Relativistic Field Theory -- 10.1 Action Principle and Noether’s Theorem -- 10.2 Application to Poincaré-Covariant Field Theory -- | |
10.3 Relativistic Hydrodynamics -- Appendices -- A Basic Concepts from Group Theory -- A.1 Definition of Groups -- A.2 Subgroups and Factor Groups -- A.3 Homomorphisms, Extensions, Products -- A.4 Transformation Groups -- B Abstract | |
Multilinear Algebra -- B.1 Semilinear Maps -- B.2 Dual Space -- B.3 Complex-Conjugate Space -- B.4 Transposition, Complex, and Hermitian Conjugation -- B.5 Bi- and Sesquilinear Forms -- B.6 Real and Complex Structures -- B.7 Direct | |
Sums -- B.8 Tensor Products -- B.9 Complexification -- B.10 The Tensor Algebra over a Vector Space -- B.11 Symmetric and Exterior Algebra -- B.12 Inner Product. Creation and Annihilation Operators -- B.13 Duality in Exterior Algebra -- | |
C Majorana Spinors, Charge Conjugation, and Time Reversal in Dirac Theory -- C.1 Dirac Algebra Reconsidered -- C.2 Majorana Spinors, Charge Conjugation, Time Reversal -- D Poincaré Covariance in Second Quantization -- D.l The | |
One-Particle Space -- D.2 Fock Space and Field Operator -- D.3 Poincaré Covariance and Conserved Quantities -- Notation -- Author Index | |
ISBN: | 9783709162347 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Gravitation , Optics , Electrodynamics , Nuclear physics , Elementary particles (Physics) , Quantum field theory , Physics , Classical and Quantum Gravitation, Relativity Theory , Optics and Electrodynamics , Particle and Nuclear Physics , Elementary Particles, Quantum Field Theory , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-2001-9783642564703:ONLINE Show nearby items on shelf |
Title: | Scientific Computing in Electrical Engineering Proceedings of the 3rd International Workshop, August 20–23, 2000, Warnemünde, Germany |
Author(s): | |
Date: | 2001 |
Size: | 1 online resource (428 p.) |
Note: | 10.1007/978-3-642-56470-3 |
Contents: | Multi-Time PDEs for Dynamical System Analysis -- Edge Finite Elements of Variable Order for Maxwell’s Equations -- A Common-Mode Skeleton Model for EMC Simulations -- Computational Electromagnetism in Transformer and Switchgear |
Design: Current Trends -- Numerical Algorithms for the Calculation of Magneto-Quasistatic Fields Using the Finite Integration Technique -- Parallel Maxwell Solvers -- Simulation of Electric Field Strength and Force Density on | |
Contaminated H-V Insulators -- Commercial EM Codes Suitable for Modeling of Microwave Heating — a Comparative Review -- On the Representation of Differential Forms by Potentials in Dimension 3 -- Hysteresis Models for Transient | |
Simulation -- Calculation of Frequency Domain Parameters in Lossfree and Lossy Structures Using the FI-Technique and a Modal Approach -- Statistical Simulation Approach to Inverse Geoelectric Problem -- A Scalar BEM for Time Harmonic | |
Eddy Current Problems with Impedance Boundary Conditions -- Appraisal of Asymptotics in Electromagnetic Field Calculations -- Shape Optimization of Homogeneous Electromagnets -- Field Calculations of High Accuracy by BEM Using | |
Extrapolation -- Calculation of Electromagnetic Eigenmodes in Complex Structures Using Coupled S-Parameter Calculation -- Multigrid Solvers for Poisson’s Equation in Computational Electromagnetics -- Model Design Criteria for | |
Integrated Circuits to Have a Unique Solution and Good Numerical Properties -- CHORAL — A One Step Method as Numerical Low Pass Filter in Electrical Network Analysis -- Periodic Steady-State Analysis of Free-running Oscillators -- | |
Efficient Analysis of Oscillatory Circuits -- Robust Limit Cycle Calculations of Oscillators -- Multirate ROW Methods of Mixed Type for Circuit Simulation -- Neural Networks for Device and Circuit Modelling -- Sub-micrometer Bipolar | |
Transistor Modeling Using Neural Networks -- Numerical Simulation for Lossy Microwave Transmission Lines Including PML -- Electromagnetic Simulation of Real-Life Circuits: A Mobile Phone Power Amplifier Module and an FM Radio Tuner PCB | |
-- Error Indicator and Adaptive Meshing for Hierarchical FEM-Simulation of Waveguides -- A Parallelizable GMRES-type Method for p-cyclic Matrices, with Applications in Circuit Simulation -- Parallel Algorithms for Solving Linear | |
Equations in VLSI Circuit Simulation -- Investigation of Time Step Control for the Mixed-Level Device/Circuit Simulation of SiGe Bipolar Microwave Power Amplifiers -- Symmetrical Retarded Current Source Model for Transient Field | |
Coupling on Interconnects -- Iterative Solution of Systems of Linear Equations in Microwave Circuits Using a Block Quasi-Minimal Residual Algorithm -- A Survey on Parameter Extraction Techniques for Coupling Electromagnetic Devices to | |
Electric Circuits -- A Mathematical Framework for the Finite Element Modelling of Electromechanical Problems -- Dual Magnetodynamic Finite Element Formulations with Natural Definitions of Global Quantities for Electric Circuit Coupling | |
-- Induction Heating of Thin Slabs in Nonmagnetic Media -- Krylov Subspace Methods for Harmonic Balanced Finite Element Methods -- The “Modified Trapezoidal Rule” (?-Method) for the Integration of DAEs Modelling an Electro-Mechanical | |
Drive Including External Circuitry and Magnetic Field-Distribution -- Analysis of Coupled Electromagnetic and Thermal Fields in the Instationary Case -- On the Evaluation of Transients in Conducting Ferromagnetic Cores | |
ISBN: | 9783642564703 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Computational Science and Engineering: 18 |
Keywords: | Engineering , Computers , Computer engineering , Computer mathematics , Numerical analysis , Computational intelligence , Electrical engineering , Engineering , Electrical Engineering , Theory of Computation , Computer Engineering , Computational Mathematics and Numerical Analysis , Numerical Analysis , Computational Intelligence |
Availability: | Click here to see Library holdings or inquire at
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