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Call number: | 9783319517001:ONLINE Show nearby items on shelf |
Title: | Gravity and the Quantum Pedagogical Essays on Cosmology, Astrophysics, and Quantum Gravity |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (XII, 494 p. 54 illus p.) |
Contents: | J. Alcaniz et al. Measuring baryon acoustic oscillations with angular two-point correlation function -- C. M. Boily Resonant disruption of binary stars by a catalytic black hole -- Rong-Gen Cai and Li-Ming Cao Mechanics of Apparent |
Horizon in Two Dimensional Dilaton Gravity -- Sumanta Chakraborty Boundary Terms of the Einstein-Hilbert Action -- Timothy Clifton and John Barrow Decay of the Cosmic Vacuum Energy -- Naresh Dadhich Understanding General Relativity | |
after 100 years: A matter of perspective -- Tevian Dray Piecewise Conserved Quantities -- Pankaj Joshi Self-Similarity and Criticality in Gravitational Collapse -- Claus Kiefer Notes on semiclassical Weyl gravity -- Dawood Kothawala | |
Accelerated Observers, Thermal Entropy, and Spacetime Curvature -- Donald Lynden-Bell A local stress tensor for gravity Fields -- Michele Maggiore Nonlocal Infrared Modifications of Gravity: A Review -- Ayan Mukhopadhyay Emergence of | |
gravity and RG flow -- S. Modak Modelling non-paradoxical loss of information in black hole evaporation -- J.V. Narlikar Relativistic Paths : A Feynman Problem -- Martin Rees Thoughts on 50 years in astrophysics and cosmology and on | |
what comes next -- Sudipta Sarkar Area Theorem: General Relativity and Beyond -- Shankarnarayanan What Are the Atoms of Space Time? -- Suprit Singh From Quantum to Classical in the Sky -- T.P. Singh Classical and quantum: a conflict of | |
interest -- Lee Smolin Four principles for quantum gravity -- L. Sriramkurar What do detectors detect? -- Urjit A Yajnik Stability longevity and all that : false vacua and topological defects | |
ISBN: | 9783319517001 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Gravitation , Astronomy , Astrophysics , Cosmology , Elementary particles (Physics) , Quantum field theory , Physics , Classical and Quantum Gravitation, Relativity Theory , Astronomy, Astrophysics and Cosmology , Elementary Particles, Quantum Field Theory , History and Philosophical Foundations of Physics |
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Call number: | 9783319441474:ONLINE Show nearby items on shelf |
Title: | Classical Mechanics Hamiltonian and Lagrangian Formalism |
Author(s): |
Alexei Deriglazov |
Date: | 2017 |
Edition: | 2nd ed. 2017 |
Size: | 1 online resource (XVI, 445 p. 53 illus p.) |
Contents: | Sketch of Lagrangian Formalism -- Hamiltonian Formalism -- Canonical Transformations of Two-Dimensional Phase Space -- Properties of Canonical Transformations -- Integral Invariants -- Some Mechanical Problems in a Geometric Setting |
-- Transformations, Symmetries and Noether Theorem -- Hamiltonian Formalism for Singular Theories -- Classical and Quantum Relativistic Mechanics of a Spinning Particle -- Index | |
ISBN: | 9783319441474 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Applied mathematics , Engineering mathematics , Continuum mechanics , Physics , Classical Mechanics , Theoretical, Mathematical and Computational Physics , Continuum Mechanics and Mechanics of Materials , Applications of Mathematics , Appl.Mathematics/Computational Methods of Engineering |
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Location: | ONLINE |
Call number: | 9780849387753:ONLINE Show nearby items on shelf |
Title: | Gauge theories in particle physics [electronic resource] : a practical introduction. Vol. 1, From relativistic quantum mechanics to QED |
Author(s): |
Ian Johnston Rhind Aitchison Anthony J.G. Hey |
Date: | 2003 |
Edition: | 3rd ed. |
Publisher: | Bristol : Institute of Physics Pub |
Size: | 1 online resource (406 p.) |
Note: | Previous ed.: 1989 |
Contents: | pt. 1. Introductory survey, electromagnetism as a gauge theory, and relativistic quantum mechanics -- pt. 2. Introduction to quantum field theory -- pt. 3. Tree-level applications in QED -- pt. 4. Loops and renormalization |
ISBN: | 0750308648 |
Series: | CRCnetBASE eBook platform |
Series: | Graduate student series in physics |
Series: | eBooks single |
Keywords: | Gauge fields (Physics) , Particles (Nuclear physics) , Weak interactions (Nuclear physics) , Quantum electrodynamics. , Feynman diagrams. |
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Call number: | 3527408568:ONLINE Show nearby items on shelf |
Title: | Relativistic Celestial Mechanics of the Solar System |
Author(s): |
Kopeikin |
Date: | 2011 |
Publisher: | Wiley-VCH |
Size: | 1 online resource (893 p.) |
ISBN: | 9783527408566 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Astronomy |
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Call number: | 0471353868:ONLINE Show nearby items on shelf |
Title: | Relativistic Quantum Mechanics and Field Theory |
Author(s): |
Gross |
Date: | 1999 |
Publisher: | Wiley-VCH |
Size: | 1 online resource (644 p.) |
ISBN: | 9780471353867 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Physics |
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Call number: | SPRINGER-2016-9783319256757:ONLINE Show nearby items on shelf |
Title: | Advanced Quantum Mechanics Materials and Photons |
Author(s): |
Rainer Dick |
Date: | 2016 |
Edition: | 2nd ed. 2016 |
Size: | 1 online resource (36 p.) |
Note: | 10.1007/978-3-319-25675-7 |
Contents: | The Need for Quantum Mechanics -- Self-adjoint Operators and Eigenfunction Expansions -- Simple Model Systems -- Notions from Linear Algebra and Bra-Ket Formalism -- Formal Developments -- Harmonic Oscillators and Coherent States -- |
Central Forces in Quantum Mechanics -- Spin and Addition of Angular Momentum Type Operators -- Stationary Perturbations in Quantum Mechanics -- Quantum Aspects of Materials I -- Scattering Off Potentials -- The Density of States -- | |
Time-Dependent Perturbations in Quantum Mechanics -- Path Integrals in Quantum Mechanics -- Coupling to Electromagnetic Fields -- Principles of Lagrangian Field Theory -- Non-relativistic Quantum Field Theory -- Quantization of the | |
Maxwell Field: Photons -- Quantum Aspects of Materials II -- Dimensional Effects in Low-dimensional Systems -- Relativistic Quantum Fields -- Applications of Spinor QED | |
ISBN: | 9783319256757 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Quantum physics , Quantum optics , Nanoscale science , Nanoscience , Nanostructures , Optical materials , Electronic materials , Nanotechnology , Physics , Quantum Physics , Quantum Optics , Optical and Electronic Materials , Nanoscale Science and Technology , Nanotechnology |
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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-2014-9783319063492:ONLINE Show nearby items on shelf |
Title: | General Relativity, Cosmology and Astrophysics [electronic resource] : Perspectives 100 years after Einstein's stay in Prague |
Author(s): |
Ji Bik Tom Ledvinka |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The articles included in this Volume represent a broad and highly qualified view on the present state of general relativity, quantum gravity, and their cosmological and astrophysical implications. As such, it may serve as avaluable source of knowledg e and inspiration for experts in these fields, as well as an advanced source of information for young researchers. The occasion to gather together so many leading experts in the field was to celebrate thecentenary of Einstein's stay in Prague in 1911-1912 . It was in fact during his stay in Prague that Einstein started in earnest to develop his ideas about general relativity that fully developed in his paper in 1915. Approaching soonthe centenary of his famous paper, this volume offers a precious overview of the path done by the scientific community in this intriguing and vibrant field in the last century, defining the challenges of the next 100 years. The contentis divided into four broad parts: (i) Gravity and Prague, (ii) Classical General Relativity, ( iii) Cosmology and Quantum Gravity, and (iv) Numerical Relativity and Relativistic Astrophysics |
Contents: | Part I Gravity and Prague |
Kepler and Machs Principle | |
Einstein in Prague: Relativity Then and Now | |
Part II Classical General Relativity | |
Observers, observables and measurements in general relativity | |
Some links between general relativity and other parts of physics | |
The General Relativistic Two Body Problem and the Effective One Body Formalism | |
Gravitational self | |
force: orbital mechanics beyond geodesic motion | |
Hamiltonian formalism for spinning black holes in general relativity | |
Stability of marginally outer trapped surfaces and geometric inequalities | |
Stationary black | |
ISBN: | 9783319063492 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Fundamental Theories of Physics : v177 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astronomy |
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Call number: | SPRINGER-2014-9783319003337:ONLINE Show nearby items on shelf |
Title: | Quantum Potential: Physics, Geometry and Algebra [electronic resource] |
Author(s): |
Ignazio Licata Davide Fiscaletti |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Recently the interest in Bohm realist interpretation of quantum mechanics has grown. The important advantage of this approach lies in the possibility to introduce non-locality ab initio, and not as an unexpected host. Inthis bookthe authors give a de tailed analysis of quantum potential, the non-locality term and its role in quantum cosmology and information. The different approaches to the quantum potential are analysed, starting from the originalattempt to introduce a realism of particles trajectori es (influenced by de Broglies pilot wave) to the recent dynamic interpretation provided by Goldstein, Durr, Tumulka and Zangh, and the geometrodynamic picture, with suggestionabout quantum gravity. Finally we focus on the algebraic reading of Hiley and Bi rkbeck school, that analyse the meaning of the non-local structure of the world, bringing important consequences for the space, time and informationconcepts |
Contents: | From the Contents: Quantum Potential |
The Quantum Potential in Schrdinger Equation | |
The Pilot Wave Theory | |
Particles trajectories as the foundation of Bohms mechanics: the nutshell of Drr, Goldstein, Tumulka and Zangh | |
Non | |
Commutative Quantum Geometry and the Algebraic Approach to Non | |
Locality | |
Quantum potential in particle and field theory models | |
Klein Gordon Equation and Bertoldi | |
Faraggi | |
Matone Theory | |
The quantum potential in Bohms approach to the Dirac relativistic quantum mechanics | |
Quantum Potential in Curved Space Field Theory | |
ISBN: | 9783319003337 |
Series: | eBooks |
Series: | SpringerLink |
Series: | SpringerBriefs in Physics, 2191-5423 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2013-9789400761254:ONLINE Show nearby items on shelf |
Title: | A Superintense Laser-Plasma Interaction Theory Primer [electronic resource] |
Author(s): |
Andrea Macchi |
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 continuous trend towards higher and higher laser intensities has opened the way to new physical regimes and advanced applications of laser-plasma interactions, thus stimulating novel connections with ultrafast optics,astrophysics, particle physic s, and biomedical applications. This book is primarily oriented towards students and young researchers who need to acquire rapidly a basic knowledge of this active and rapidly changing research field. Tothis aim, the presentation is focused on a selection of basic models and inspiring examples, and includes topics which emerged recently such as ion acceleration, relativistic engineering and radiation friction. The contents arepresented in a self-contained way assuming only a basic knowledge of classical e lectrodynamics, mechanics and relativistic dynamics at the undergraduate (Bachelor) level, without requiring any previous knowledge of plasma physics.Hence, the book may serve in several ways: as a compact textbook for lecture courses, as a short and acce ssible introduction for the newcomer, as a quick reference for the experienced researcher, and also as an introduction to somenonlinear mathematical methods through examples of their application to laser-plasma modeling |
Note: | Springer eBooks |
Contents: | 1. Introduction |
2. From one to many electrons | |
3. Relativistic nonlinear waves in plasmas | |
4. Electron acceleration | |
6. Photon acceleration and relativistic engineering | |
ISBN: | 9789400761254 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | SpringerBriefs in Physics, 2191-5423 |
Series: | Physics and Astronomy (Springer-11651) |
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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-2013-9783642357985:ONLINE Show nearby items on shelf |
Title: | Einstein in Matrix Form [electronic resource] : Exact Derivation of the Theory of Special and General Relativity without Tensors |
Author(s): |
Gnter Ludyk |
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: | This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without toomuch new mathematics. Th e fundamental equations of Einsteins theory of Special and General Relativity are derived using matrix calculus, without the help of tensors. This feature makes the book special and a valuable tool forscientists and engineers with no experience in the fie ld of tensor calculus. In part I the foundations of Special Relativity are developed, part II describes the structure and principle of General Relativity. Part III explains theSchwarzschild solution of spherical body gravity and examines the Black Hole ph enomenon. Any necessary mathematical tools are user friendly provided, either directly in the text or in the appendices |
Note: | Springer eBooks |
Contents: | From the Contents: Special Relativity |
The Galilei Transformation | |
The Lorentz Transformation | |
The Invariance of Quadratic Forms | |
Velocity Addition | |
Lorentz Transformation of Velocities | |
Lorentz Transformation of Impulses | |
Acceleration and Force | |
Relativistic Electrodynamics | |
Energy Momentum Matrix | |
General Relativity | |
General Relativity and Riemannian Geometry | |
ISBN: | 9783642357985 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry , Mechanics , Mechanics, applied |
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Call number: | SPRINGER-2013-9783642345630:ONLINE Show nearby items on shelf |
Title: | Quantum Physics [electronic resource] |
Author(s): |
Florian Scheck |
Date: | 2013 |
Edition: | 2nd ed. 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: | Schecks Quantum Physics presents a comprehensive introductory treatment, ideally suited for a two-semester course. Part One covers the basic principles and prime applications of quantum mechanics, from the uncertaintyrelations to many-body systems. P art Two introduces to relativistic quantum field theory and ranges from symmetries in quantum physics to electroweak interactions. Numerous worked-out examples as well as exercises, with solutions orhints, enables the books use as an accompanying text for courses, and also for independent study. For both parts, the necessary mathematical framework is treated in adequate form and detail. The book ends with appendices coveringmathematical fundamentals and enrichment topics, plus selected biographical notes on pioneers of quantum mechanics and quantum field theory. The new edition was thoroughly revised and now includes new sections on quantization using thepath integral method and on deriving generalized path integrals for bosonic and fermionic fields |
Note: | Springer eBooks |
Contents: | From the Uncertainty Relation to Many |
Body Systems | |
Quantum Mechanics of Point Particles | |
Scattering of Particles by Potentials | |
The Principles of Quantum Theory | |
Space | |
Time Symmetries in Quantum Physics | |
Applications of Quantum Mechanics | |
From Symmetries in Quantum Physics to Electroweak Interactions | |
Symmetries and Symmetry Groups in Quantum Physics | |
Quantized Fields and their Interpretation | |
Scattering Matrix and Observables in Scattering and Decays | |
Particles with Spin 1/2 and the Dirac Equation | |
Elements of Quantum Electrodynamics and Weak Interactions | |
ISBN: | 9783642345630 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2013-9781461474227:ONLINE Show nearby items on shelf |
Title: | The Mathematical Structure of Classical and Relativistic Physics [electronic resource] A General Classification Diagram |
Author(s): |
Enzo Tonti |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The theoriesdescribing seemingly unrelated areas of physics have surprising analogies that have arousedthe curiosity of scientists and motivatedefforts toidentify reasons for their existence.Comparative study ofphysical theories has revealed the pres ence of a common topological and geometric structure. The Mathematical Structure of Classical and Relativistic Physicsis the first book to analyzethis structure in depth, thereby exposing therelationship between (a) global physical variables and (b) space and time elements such as points, lines, surfaces, instants, and intervals. Combining this relationship with the inner and outer orientation of space and time allows oneto construct a classification diagram for variables, equations, and other theoretical characteristics. The bookis divided into three parts. The first introduces the framework for the above-mentioned classification, methodicallydevelopingageometric and topologicalformulationapplicable to allphysical laws and properties the second applies t his formulation to a detailed study of particle dynamics, electromagnetism, deformable solids, fluid dynamics,heat conduction, and gravitation. The third part further analyses the general structure of the classification diagram for variables and equations of physical theories. Suitable for a diverse audience of physicists, engineers, andmathematicians, The Mathematical Structure of Classical and Relativistic Physics offers a valuable resource for studying the physical world. Written at alevel accessible t o graduate and advanced undergraduatestudents inmathematical physics, the book can be used as a research monograph across various areas of physics, engineering and mathematics, and as a supplemental text for a broad range of upper-level scientific coursew ork |
Note: | Springer eBooks |
Contents: | 1 Introduction |
Part I Analysis of variables and equations | |
2 Terminology revisited | |
3 Space and time elements and their orientation | |
4 Cell complexes | |
5 Analysis of physical variables | |
6 Analysis of physical equations | |
7 Algebraic topology | |
8 The birth of the classification diagrams | |
Part II Analysis of physical theories | |
9 Particle dynamics | |
10 Electromagnetism | |
11 Mechanics of deformable solids | |
12 Mechanics of fluids | |
13 Other physical theories | |
Part III Advanced analysis | |
14 General structure of the diagrams | |
15 The mathematical structure | |
Part IV Appen | |
ISBN: | 9781461474227 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modeling and Simulation in Science, Engineering and Technology, 2164-3679 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Algebraic topology , Mathematical physics |
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Call number: | SPRINGER-2013-9781461442950:ONLINE Show nearby items on shelf |
Title: | Plasma Astrophysics, Part II [electronic resource] : Reconnection and Flares |
Author(s): |
Boris V Somov |
Date: | 2013 |
Edition: | Second |
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: | This two-part book is devoted to classic fundamentals and current practices and perspectives of modern plasma astrophysics. This second part discusses the physics of magnetic reconnection and flares of electromagnetic origin inspace plasmas in the so lar system, single and double stars, relativistic objects, accretion disks and their coronae. More than 25% of the text is updated from the first edition, including the additions of new figures, equations andentire sections on topics such as topological t riggers for solar flares and the magnetospheric physics problem. This book is aimed at professional researchers in astrophysics, but it will also be useful to graduate students in spacesciences, geophysics, applied physics and mathematics, especially thos e seeking a unified view of plasma physics and fluid mechanics |
Note: | Springer eBooks |
Contents: | From the Contents: Magnetic Reconnection |
Reconnection in a Strong Magnetic Field | |
Evidence of Reconnection in Solar Flares | |
Reconnection in Action | |
The Bastille Day 2000 Solar Flare | |
Electric Currents Related to Reconnection | |
Models of Reconnecting Current Layers | |
Collapsing Magnetic Traps in Solar Flares | |
Solar | |
type Flares in Laboratory and Space | |
Particle Acceleration in Current Layers | |
ISBN: | 9781461442950 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Astrophysics and Space Science Library, 0067-0057 : v392 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astrophysics |
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Call number: | SPRINGER-2012-9788847015043:ONLINE Show nearby items on shelf |
Title: | From Special Relativity to Feynman Diagrams [electronic resource] : A Course of Theoretical Particle Physics for Beginners |
Author(s): |
Riccardo D'Auria Mario Trigiante |
Date: | 2012 |
Publisher: | Milano : Springer Milan |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This books aims at filling a gap between the basics courses of classical and quantum mechanics and advanced courses of (relativistic) quantum mechanics and field theory. Particular emphasis is given to the role of symmetry inmodern theoretical physic s. For this reason this book is particularly suited to those students who are interested in a deeper knowledge of modern developments in elementary particle physics and relativity, even if they choose not tospecialize in this branch of research. This targ et of readers includes, besides experimental and applied physicists, also those engineers who need advanced notions of theoretical high energy physics, in view of future research activityin the field theory approach to condensed matter, in accelerator phy sics and in all those modern technology sectors which require a more advanced and sophisticated theoretical physics background. Courses motivated by these objectivesare present in several polytechnic institutes around the world. The last chapters of this book, in particular, are of particular importance to those engineers who plan to work in high energy physics research centres, like LHC at CERN,or to collaborate to experiments on the revelation of gravitational waves. As far as engineering is concerned, it is important to stress that elementary Special and General Relativity courses are often absent in their curricula |
Note: | Springer eBooks |
ISBN: | 9788847015043 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | UNITEXT, 2038-5714 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Mathematical physics |
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Call number: | SPRINGER-2012-9783642295119:ONLINE Show nearby items on shelf |
Title: | Quantum Many Body Systems [electronic resource] : Cetraro, Italy 2010, Editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason |
Author(s): |
Vincent Rivasseau Robert Seiringer Jan Philip Solovej Thomas Spencer |
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 is based on the lectures given at the CIME school Quantum many body systems held in the summer of 2010. It provides a tutorial introduction to recent advances in the mathematics of interacting systems, written byfour leading experts in the f ield: V. Rivasseau illustrates the applications of constructive Quantum Field Theory to 2D interacting electrons and their relation to quantum gravity R. Seiringer describes a proof of Bose-Einsteincondensation in the Gross-Pitaevski limit and explains th e effects of rotating traps and the emergence of lattices of quantized vortices J.-P. Solovej gives an introduction to the theory of quantum Coulomb systems and to thefunctional analytic methods used to prove their thermodynamic stability finally, T. Spen cer explains the supersymmetric approach to Anderson localization and its relation to the theory of random matrices. All the lectures arecharacterized by their mathematical rigor combined with physical insights |
Note: | Springer eBooks |
Contents: | 1.Introduction to the Renormalization Group with Applications to Non |
Relativistic Quantum Electron Gases. Vincent Rivasseau | |
2.Cold Quantum Gases and Bose | |
Einstein Condensation. Robert Seiringer | |
3. Quantum Coulomb gases. Jan Philip Solovey | |
4. SUSY Statistical Mechanics and Random Band Matrices. Thomas Spencer | |
ISBN: | 9783642295119 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v2051 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics |
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Call number: | SPRINGER-2012-9783642202414:ONLINE Show nearby items on shelf |
Title: | Electroweak and Strong Interactions [electronic resource] : Phenomenology, Concepts, Models |
Author(s): |
Florian Scheck |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
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Note: | Springer 2013 e-book collections |
Note: | Electroweak and Strong Interaction: Phenomenology, Concepts, Models, begins with relativistic quantum mechanics and some quantum field theory which lay the foundation for the rest of the text. The phenomenology and the physics ofthe fundamental inter actions are emphasized through a detailed discussion of the empirical fundamentals of unified theories of strong, electromagnetic, and weak interactions. The principles of local gauge theories are described both ina heuristic and a geometric framework. Th e minimal standard model of the fundamental interactions is developed in detail and characteristic applications are worked out. Possible signals of physics beyond that model, notably in thephysics of neutrinos are also discussed. Among the applications sc attering on nucleons and on nuclei provide salient examples. Numerous exercises with solutions make the text suitable for advanced courses or individual study. Thiscompletely updated revised new edition contains an enlarged chapter on quantum chromodynami cs and a widely updated chapter on neutrino physics |
Note: | Springer eBooks |
Contents: | Fermion Fields and their Properties |
Electromagnetic Processes and Interactions | |
Weak Interactions and the Standard Model of Strong and Electroweak Interactions | |
Beyond the Minimal Standard Model | |
Scattering of Strongly Interacting Particles on Nuclei | |
Hadronic Atoms | |
Quantum Chromodynamics | |
Neutrino Physics | |
Appendix A. Lorentz Invariant Distributions | |
Appendix B. S | |
Matrix, Cross Sections, Decay Probabilities | |
Appendix C1. Some Feynman Rules for Quantum Electrodynamics of Spin | |
1/2 Particles f+ | |
Appendix C2. Traces. Appendix D. The Group SU(3) | |
Appendix E. Dirac Equati | |
ISBN: | 9783642202414 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2012-9783642154829:ONLINE Show nearby items on shelf |
Title: | Symmetries and Group Theory in Particle Physics [electronic resource] : An Introduction to Space-Time and Internal Symmetries |
Author(s): |
Giovanni Costa Gianluigi Fogli |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is anintroduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of theMinkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standardmodel of particle physics. This book, based on several courses given by th e authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge ofclassical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures |
Note: | Springer eBooks |
Contents: | Introduction to Lie Groups and their Representations |
The Rotation Group | |
The Homogeneous Lorentz Group | |
The Poincare Transformation | |
One Particle and Two Particle States | |
Discrete Operations | |
Relativistic Equations | |
Unitary Symmetries | |
Gauge Symmetries | |
Rotation Matrices and Clebsch | |
Gordan Coeficients | |
Symmetric Goups and Identical Particles | |
Young Tableaux and Irreducible Representations ot he Unitary Groups | |
Solutions | |
Index | |
ISBN: | 9783642154829 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v823 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics , Quantum theory |
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Call number: | SPRINGER-2012-9781441980779:ONLINE Show nearby items on shelf |
Title: | Advanced Quantum Mechanics [electronic resource] : Materials and Photons |
Author(s): |
Rainer Dick |
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: | Advanced Quantum Mechanics: Materials and Photons is a textbook which emphasizes the importance of advanced quantum mechanics for materials science and all experimental techniques which employ photon absorption, emission, orscattering. Important aspe cts of introductory quantum mechanics are covered in the first seven chapters to make the subject self-contained and accessible for a wide audience. The textbook can therefore be used for advancedundergraduate courses and introductory graduate courses whi ch are targeted towards students with diverse academic backgrounds from the Natural Sciences or Engineering. To enhance this inclusive aspect of making the subject asaccessible as possible, Appendices A and B also provide introductions to Lagrangian mecha nics and the covariant formulation of electrodynamics. Other special features include an introduction to Lagrangian field theory and an integrateddiscussion of transition amplitudes with discrete or continuous initial or final states. Once students have a cquired an understanding of basic quantum mechanics and classical field theory, canonical field quantization is easy.Furthermore, the integrated discussion of transition amplitudes naturally leads to the notions of transition probabilities, decay rates, a bsorption cross sections and scattering cross sections, which are important for all experimentaltechniques that use photon probes. Quantization is first discussed for the Schrdinger field before the relativistic Maxwell, Klein-Gordon and Dirac fields are quantized. Quantized Schrdinger field theory is not only important forcondensed matter physics and materials science, but also provides the easiest avenue to general field quantization and is therefore also useful for students with an interest in nuclear and particle physics. The quantization of theMaxwell field is performed in Coulomb gauge. This is the appropriate and practically most useful quantization procedure in condensed matter physics, chem |
Note: | Springer eBooks |
Contents: | The Need for Quantum Mechanics |
Self | |
adjoint Operators and Eigenfunction Expansions | |
Simple Model Systems | |
Notions from Linear Algebra and Bra | |
ket Formalism | |
Formal Developments | |
Harmonic Oscillators and Coherent States | |
Central Forces in Quantum Mechanics | |
Spin and Addition of Angular Momentum Type Operators | |
Stationary Perturbations in Quantum Mechanics | |
Quantum Aspects of Materials I | |
Scattering Off Potentials | |
The Density of States | |
Time | |
Dependent Perturbations in Quantum Mechanics | |
Path Integrals in Quantum Mechanics | |
Coupling to Electromagnetic Fields | |
Princ | |
ISBN: | 9781441980779 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Optical materials , Nanotechnology |
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Call number: | SPRINGER-2012-9780817646622:ONLINE Show nearby items on shelf |
Title: | Self-adjoint Extensions in Quantum Mechanics [electronic resource] : General Theory and Applications to Schrdinger and Dirac Equations with Singular Potentials |
Author(s): |
D.M Gitman I.V Tyutin B.L Voronov |
Date: | 2012 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Quantization of physical systems requires a correct definition of quantum-mechanical observables, such as the Hamiltonian, momentum, etc., as self-adjoint operators in appropriate Hilbert spaces and their spectral analysis.Though a nave treatment exi sts for dealing with such problems, it is based on finite-dimensional algebra or even infinite-dimensional algebra with bounded operators, resulting in paradoxes and inaccuracies. A propertreatment of these problems requires invoking certain nontrivial n otions and theorems from functional analysis concerning the theory of unbounded self-adjoint operators and the theory of self-adjoint extensions of symmetric operators.Self-adjoint Extensions in Quantum Mechanics begins by considering quantization problem s in general, emphasizing the nontriviality of consistent operator construction by presenting paradoxes of the nave treatment. The necessarymathematical background is then built by developing the theory of self-adjoint extensions. Through examination of v arious quantum-mechanical systems, the authors show how quantization problems associated with the correct definitionof observables and their spectral analysis can be treated consistently for comparatively simple quantum-mechanical systems. Systems that ar e examined include free particles on an interval, particles in a number of potential fieldsincluding delta-like potentials, the one-dimensional Calogero problem, the AharonovBohm problem, and the relativistic Coulomb problem. This well-organized text is m ost suitable for graduate students and postgraduates interested indeepening their understanding of mathematical problems in quantum mechanics beyond the scope of those treated in standard textbooks. The book may also serve as a useful resource for mathema ticians and researchers in mathematical andtheoretical physics |
Note: | Springer eBooks |
Contents: | Introduction |
Linear Operators in Hilbert Spaces | |
Basics of Theory of s.a. Extensions of Symmetric Operators | |
Differential Operators | |
Spectral Analysis of s.a. Operators | |
Free One | |
Dimensional Particle on an Interval | |
One | |
Dimensional Particle in Potential Fields | |
Schrdinger Operators with Exactly Solvable Potentials | |
Dirac Operator with Coulomb Field | |
Schrdinger and Dirac Operators with Aharonov | |
Bohm and Magnetic | |
Solenoid Fields | |
ISBN: | 9780817646622 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematical Physics : v62 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Operator theory , Quantum theory , Mathematical physics |
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Call number: | SPRINGER-2011-9789400719170:ONLINE Show nearby items on shelf |
Title: | Wave Equations in Higher Dimensions [electronic resource] |
Author(s): |
Shi-Hai Dong |
Date: | 2011 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Higher dimensional theories have attracted much attention because they make it possible to reduce much of physics in a concise, elegant fashion that unifies the two great theories of the 20th century: Quantum Theory andRelativity. This book provides an elementary description of quantum wave equations in higher dimensions at an advanced level so as to put all current mathematical and physical concepts and techniques at the readers disposal. Acomprehensive description of quantum wave equations in highe r dimensions and their broad range of applications in quantum mechanics is provided, which complements the traditional coverage found in the existing quantum mechanicstextbooks and gives scientists a fresh outlook on quantum systems in all branches of phy sics. In Parts I and II the basic properties of the SO(n) group are reviewed and basic theories and techniques related to wave equations in higherdimensions are introduced. Parts III and IV cover important quantum systems in the framework of non-relativis tic and relativistic quantum mechanics in terms of the theories presented in Part II. In particular, the Levinson theorem andthe generalized hypervirial theorem in higher dimensions, the Schrdinger equation with position-dependent mass and the Kaluza-Klei n theory in higher dimensions are investigated. In this context, the dependence of the energy levels onthe dimension is shown. Finally, Part V contains conclusions, outlooks and an extensive bibliography |
Note: | Springer eBooks |
Contents: | Part I (Introduction) |
Part II (Theory) | |
2. Special orthogonal groups (Introduction Abstract groupsOrthogonal group SO(n) Tensor representations of the SO(n) \Gamma matrix groups Spinor representations of the SO(n) Concluding remarks) | |
3. Rotational symmetry and Schrdinger equation in N | |
dimensional space (Introduction Rotation operator Orbital angular momentum operators The linear momentum operatorsRadial momentum operator Spherical harmonic polynomials Schrdinger equation for a two | |
body system Concluding remarks) | |
4. Dirac equation in higher dimensions (Introduction | |
ISBN: | 9789400719170 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Functional equations , Quantum theory |
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Call number: | SPRINGER-2011-9789400701717:ONLINE Show nearby items on shelf |
Title: | Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems [electronic resource] |
Author(s): |
Masanori Ohya I Volovich |
Date: | 2011 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | This monograph provides a mathematical foundation to the theory of quantum information and computation, with applications to various open systems including nano and bio systems. It includes introductory material on algorithm,functional analysis, prob ability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum information like quantum algorithm and teleportation, the authors discuss findings on thetheory of entropy in C*-dynamical systems, spa ce-time dependence of quantum entangled states, entangling operators, adaptive dynamics, relativistic quantum information, and a new paradigm for quantum computation beyond the usualquantum Turing machine. Also, some important applications of information theory to genetics and life sciences, as well as recent experimental and theoretical discoveries in quantum photosynthesis are described |
Note: | Springer eBooks |
Contents: | 1 Introduction |
2 Algorithms and Computation | |
3 Basics of Classical Probability | |
4 Basics of Infinite Dimensional Analysis | |
5 Basics of Quantum Mechanics | |
6 Fundamentals of Classical Information Theory | |
7 Fundamentals of Quantum Information | |
8 Locality and Entanglement | |
9 Quantum Capacity and Coding | |
10 Information Dynamics and Adaptive Dynamics | |
11 Mathematical Models of Quantum Computer | |
12 Quantum Algorithms I | |
13 Quantum Algorithms II | |
14 Quantum Algorithms III | |
15 Quantum Error Correction | |
16 Quantum Field Theory | |
Locality and Entanglement | |
17 Quantum Cry | |
ISBN: | 9789400701717 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Theoretical and Mathematical Physics, 1864-5879 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Bioinformatics , Mathematics , Quantum theory |
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Call number: | SPRINGER-2011-9789400700772:ONLINE Show nearby items on shelf |
Title: | Rational Reconstructions of Modern Physics [electronic resource] |
Author(s): |
Peter Mittelstaedt |
Date: | 2011 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Newtons classical physics and its underlying ontology are loaded with several metaphysical hypotheses that cannot be justified by rational reasoning nor by experimental evidence. Furthermore, it is well known that some ofthese hypotheses are not cont ained in the great theories of modern physics, such as the theory of relativity and quantum mechanics. This book shows that, on the basis of Newtons classical physics and by rational reconstruction, thetheory of relativity as well as quantum mechanics can be obtained by partly eliminating or attenuating the metaphysical hypotheses. Moreover, it is shown that these reconstructions do not require additional hypotheses or newexperimental results |
Note: | Springer eBooks |
Contents: | Introduction |
Chapter 1: Rise and Fall of Physical Theories | |
The evolution of Modern Physics from the classical world | |
Intuitiveness and truth of Modern Physics | |
The new approach: Reduction of metaphysical hypotheses | |
Chapter 2 : Reconstruction of Special and General Relativity | |
Historical Development versus rational reconstruction | |
Reconstruction of Special Relativity | |
Space | |
time intervals and Relativistic Mechanics | |
The numerical value of the constant w | |
Could Special Relativity have been discovered already by Newton? A pseudo | |
historical digression | |
The attempt to reconstruct Ge | |
ISBN: | 9789400700772 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Fundamental Theories of Physics : v169 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Science Philosophy |
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Call number: | SPRINGER-2011-9789048136452:ONLINE Show nearby items on shelf |
Title: | Relativistic Quantum Mechanics [electronic resource] |
Author(s): |
Armin Wachter |
Date: | 2011 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Which problems do arise within relativistic enhancements of the Schrdinger theory, especially if one adheres to the usual one-particle interpretation, and to what extent can these problems be overcome? And what is the physicalnecessity of quantum fie ld theories? In many books, answers to these fundamental questions are given highly insufficiently by treating the relativistic quantum mechanical one-particle concept very superficially and instead introducingfield quantization as soon as possible. By co ntrast, this monograph emphasizes relativistic quantum mechanics in the narrow sense: it extensively discusses relativistic one-particle concepts and reveals their problems and limitations,therefore motivating the necessity of quantized fields in a physic ally comprehensible way. The first chapters contain a detailed presentation and comparison of the Klein-Gordon and Dirac theory, always in view of the non-relativistictheory. In the third chapter, we consider relativistic scattering processes and develop the Feynman rules from propagator techniques. This is where the impossibility to get around a quantum field theoretical reasoning is discussed andbasic quantum field theoretical concepts are introduced. This book addresses undergraduate and graduate physi cs students who are interested in a clearly arranged and structured presentation of relativistic quantum mechanics in thenarrow sense and its connection to quantum field theories. Each section contains a short summary and exercises with solutions. A mathe matical appendix rounds up this excellent introductory book on relativistic quantum mechanics |
Note: | Springer eBooks |
Contents: | List of Exercises |
Preface | |
1. Relativistic Description of Spin | |
0 Particles | |
2. Relativistic Description of Spin | |
1/2 Particles | |
3. Relativistic Scattering Theory, Appendix | |
ISBN: | 9789048136452 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Theoretical and Mathematical Physics, 1864-5879 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2011-9781461407065:ONLINE Show nearby items on shelf |
Title: | Einstein's Theory [electronic resource] : A Rigorous Introduction for the Mathematically Untrained |
Author(s): |
yvind Grn Arne Nss |
Date: | 2011 |
Edition: | 1 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
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Note: | This book provides an introduction to the theory of relativity and the mathematics used in its processes. Three elements of the book make it stand apart from previously published books on the theory of relativity. First, the bookstarts at a lower mat hematical level than standard books with tensor calculus of sufficient maturity to make it possible to give detailed calculations of relativistic predictions of practical experiments. Self-contained introductionsare given, for example vector calculus, dif ferential calculus and integrations. Second, in-between calculations have been included, making it possible for the non-technical reader to follow step-by-step calculations. Thirdly, theconceptual development is gradual and rigorous in order to provide th e inexperienced reader with a philosophically satisfying understanding of the theory. Einstein's Theory: A Rigorous Introduction for the MathematicallyUntrainedaims toprovide the reader with a sound conceptual understanding of both the special and general theories of relativity, and gain an insight into how the mathematics of the theory can be utilized to calculate relativisticeffects |
Note: | Springer eBooks |
Contents: | Vectors |
Differential calculus | |
Tangent vectors | |
Curvilinear coordinate systems | |
The metric tensor | |
The Christoffel symbols | |
Covariant differentiation | |
Geodesics | |
Curvature | |
Conservation laws of classical mechanics | |
Einsteins field equations | |
Einsteins theory of spacetime and gravitation | |
Some applications | |
Relativistic universe models | |
ISBN: | 9781461407065 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Science Philosophy , Astronomy |
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Call number: | SPRINGER-2011-9781441970497:ONLINE Show nearby items on shelf |
Title: | Partial Differential Equations III [electronic resource] : Nonlinear Equations |
Author(s): |
Michael E Taylor |
Date: | 2011 |
Edition: | 2 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equationsarising in differential geo metry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It alsointroduces such analytical tools as the theory o f L^p Sobolev spaces, Holder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is targeted atgraduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. In this second edition, thereare seven new sections including Sobolev spaces on rough domains, boundary layer phenomena f or the heat equation, an extension of complex interpolation theory, and Navier-Stokes equations with small viscosity. In addition, severalother sections have been substantially rewritten, and numerous others polished to reflect insights obtained through t he use of these books over time. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina,Chapel Hill, NC. Review of first edition: These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theoryis rooted.(SIAM Review, June 1998) |
Note: | Springer eBooks |
ISBN: | 9781441970497 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Mathematical Sciences, 0066-5452 : v117 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial |
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Call number: | SPRINGER-2010-9789048186372:ONLINE Show nearby items on shelf |
Title: | Hyperbolic Triangle Centers [electronic resource] : The Special Relativistic Approach |
Author(s): |
A.A Ungar |
Date: | 2010 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
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Note: | After A. Ungar had introduced vector algebra and Cartesian coordinates into hyperbolic geometry in his earlier books, along with novel applications in Einsteins special theory of relativity, the purpose of his new book is tointroduce hyperbolic baryc entric coordinates, another important concept to embed Euclidean geometry into hyperbolic geometry. It will be demonstrated that, in full analogy to classical mechanics where barycentric coordinates arerelated to the Newtonian mass, barycentric coordinate s are related to the Einsteinian relativistic mass in hyperbolic geometry. Contrary to general belief, Einsteins relativistic mass hence meshes up extraordinarily well withMinkowskis four-vector formalism of special relativity. In Euclidean geometry, bary centric coordinates can be used to determine various triangle centers. While there are many known Euclidean triangle centers, only few hyperbolictriangle centers are known, and none of the known hyperbolic triangle centers has been determined analytically with respect to its hyperbolic triangle vertices. In his recent research, the author set the ground for investigatinghyperbolic triangle centers via hyperbolic barycentric coordinates, and one of the purposes of this book is to initiate a study of hyperb olic triangle centers in full analogy with the rich study of Euclidean triangle centers. Owing toits novelty, the book is aimed at a large audience: it can be enjoyed equally by upper-level undergraduates, graduate students, researchers and academics in g eometry, abstract algebra, theoretical physics and astronomy. For a fruitfulreading of this book, familiarity with Euclidean geometry is assumed. Mathematical-physicists and theoretical physicists are likely to enjoy the study of Einsteins special relativ ity in terms of its underlying hyperbolic geometry.Geometers may enjoy the hunt for new hyperbolic triangle centers and, finally, astronomers may use hyperbolic barycentric coordinates in th |
Note: | Springer eBooks |
Contents: | The Special Relativistic Approach To Hyperbolic Geometry |
Einstein Gyrogroups | |
Einstein Gyrovector Spaces | |
When Einstein Meets Minkowski | |
Mathematical Tools For Hyperbolic Geometry | |
Euclidean and Hyperbolic Barycentric Coordinates | |
Gyrovectors | |
Gyrotrigonometry | |
Hyperbolic Triangle Centers | |
Gyrotriangle Gyrocenters | |
Gyrotriangle Exgyrocircles | |
Gyrotriangle Gyrocevians | |
Epilogue | |
ISBN: | 9789048186372 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Fundamental Theories of Physics : v166 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematics , Astronomy |
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Call number: | SPRINGER-2010-9789048130740:ONLINE Show nearby items on shelf |
Title: | Extended Irreversible Thermodynamics [electronic resource] |
Author(s): |
David Jou Georgy Lebon |
Date: | 2010 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | This is the 4th edition of the highly acclaimed monograph on Extended Irreversible Thermodynamics, a theory that goes beyond the classical theory of irreversible processes. In contrast to the classical approach, the basicvariables describing the syst em are complemented by non-equilibrium quantities. The claims made for extended thermodynamics are confirmed by the kinetic theory of gases and statistical mechanics. The book covers a wide spectrum ofapplications, and also contains a thorough discussion of the foundations and the scope of the current theories on non-equilibrium thermodynamics. For this new edition, the authors critically revised existing material while taking intoaccount the most recent developments in fast moving fields such as heat tra nsport in micro- and nanosystems or fast solidification fronts in materials sciences. Several fundamental chapters have been revisited emphasizing physics andapplications over mathematical derivations. Also, fundamental questions on the definition of non- equilibrium temperature, entropy, fluctuations of fluxes and boundary conditions are revisited and presented in a modern way. Detailedsolutions for more than 130 problem sets presented in this book, as well as a wide bibliography on extended irreversible thermodynamics are accessible at the http://telemaco.uab.es site |
Note: | Springer eBooks |
Contents: | 1 Classical and rational formulations of non |
equilibrium thermodynamics | |
2 Extended irreversible thermodynamics | |
3 Non | |
equilibrium equations of state | |
4 Hamiltonian thermodynamics | |
5 Kinetic theory | |
6 Fluctuation Theory | |
7 Information Theory | |
8 Linear response theory | |
9 Computer Simulations | |
10 Hyperbolic heat conduction | |
11 Waves in Fluids | |
12 Generalised Hydrodynamics | |
13 Non | |
classical diffusion | |
14 Electrical Systems | |
15 Rheological materials | |
16 Thermodynamics of polymer solutions under shear flow | |
17 Relativistic Formulation | |
18 Cosmological applications | |
ISBN: | 9789048130740 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Thermodynamics , Engineering , Nanotechnology |
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Call number: | SPRINGER-2010-9788847016163:ONLINE Show nearby items on shelf |
Title: | Introduction to the Basic Concepts of Modern Physics [electronic resource] : Special Relativity, Quantum and Statistical Physics |
Author(s): |
Carlo Maria Becchi Massimo DElia |
Date: | 2010 |
Edition: | 2nd Edition |
Publisher: | Milano : Springer Milan : Imprint: Springer |
Size: | 1 online resource |
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Note: | These notes are designed as a text book for a course on the Modern Physics Theory for undergraduate students. The purpose is providing a rigorous and self-contained presentation of the simplest theoretical framework usingelementary mathematical tools . A number of examples of relevant applications and an appropriate list of exercises and answered questions are also given. The first part is devoted to Special Relativity, concerning in particularspace-time relativity and relativistic kinematics. The sec ond part deals with Schroedinger's formulation of quantum mechanics. The presentation concerns mainly one dimensional problems, in particular tunnel effect, discrete energylevels and band spectra. The three dimensional Schroedinger equation is discussed i n the case of a cubic box and in that of central potentials in particular we give some details on the harmonic oscillator, the spherical box and theCoulomb potential. The third part concerns the application of Gibbs statistical methods to quantum systems and in particular to Bose and Fermi gasses |
Note: | Springer eBooks |
ISBN: | 9788847016163 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | UNITEXT, 2038-5714 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2010-9783642140372:ONLINE Show nearby items on shelf |
Title: | Classical Mechanics [electronic resource] : Hamiltonian and Lagrangian Formalism |
Author(s): |
Alexei Deriglazov |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
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Note: | Formalism of classical mechanics underlies a number of powerful mathematical methods that are widely used in theoretical and mathematical physics. This book considers the basics facts of Lagrangian and Hamiltonian mechanics, aswell as related topics, such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyondthe traditional level adopted in the standar d textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material. The mathematical constructions involved are explicitly described andexplained, so the book can be a good starting point for the undergradu ate student new to this field. At the same time and where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving thelevel of rigor that makes the book useful for the graduate students intending to work in one o f the branches of the vast field of theoretical physics. To illustrate how classical-mechanics formalism works in other branches oftheoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included |
Note: | Springer eBooks |
Contents: | Sketch of Lagrangian Formalism |
Hamiltonian Formalism | |
Canonical Transformations of Two | |
Dimensional Phase Space | |
Properties of Canonical Transformations | |
Integral Invariants | |
Potential Motion in a Geometric Setting | |
Transformations, Symmetries and Noether Theorem | |
Hamiltonian Formalism for Singular Theories | |
ISBN: | 9783642140372 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematics , Mathematical physics , Mechanics , Engineering mathematics |
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Call number: | SPRINGER-2010-9783642053702:ONLINE Show nearby items on shelf |
Title: | Mechanics [electronic resource] : From Newton's Laws to Deterministic Chaos |
Author(s): |
Florian Scheck |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | This book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks toinclude dynamical system s and deterministic chaos in due detail. As compared to the previous editions the present fifth edition is updated and revised with more explanations, additional examples and sections on Noether's theorem.Symmetries and invariance principles, the basic ge ometric aspects of mechanics as well as elements of continuum mechanics also play an important role. The book will enable the reader to develop general principles from which equationsof motion follow, to understand the importance of canonical mechanics an d of symmetries as a basis for quantum mechanics, and to get practice in using general theoretical concepts and tools that are essential for all branches ofphysics. The book contains more than 120 problems with complete solutions, as well as some practica l examples which make moderate use of personal computers. This will be appreciated in particular by students using this textbook toaccompany lectures on mechanics. The book ends with some historical notes on scientists who made important contributions to the development of mechanics |
Note: | Springer eBooks |
Contents: | Elementary Newtonian Mechanics |
The Principles of Canonical Mechanics | |
The Mechanics of Rigid Bodies | |
Relativistic Mechanics | |
Geometric Aspects of Mechanics | |
Stability and Chaos | |
Continuous Systems | |
Exercises | |
Solution of Exercises | |
ISBN: | 9783642053702 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Differentiable dynamical systems , Mathematics , Mathematical physics , Mechanics , Mechanics, applied |
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Call number: | SPRINGER-2010-9781441908988:ONLINE Show nearby items on shelf |
Title: | Operational Spacetime [electronic resource] : Interactions and Particles |
Author(s): |
Heinrich Saller |
Date: | 2010 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Operational Spacetime: Interactions and Particles provides readers with a basic understanding of the mutual conditioning of spacetime and interactions and matter. The spacetime manifold will be looked at to be a reservoir for theparametrization of op eration Lie groups or subgroup classes of Lie groups. With basic operation groups or Lie algebras, all physical structures can be interpreted in terms of corresponding realizations or representations. Physicalproperties are related eigenvalues or invarian ts. As an explicit example, an operational spacetime is proposed, called electroweak spacetime, parametrizing the classes of the internal hypercharge-isospin group in the general lineargroup in two complex dimensions, i.e., the Lorentz cover group, extend ed by the causal (dilation) and phase group. Its representations and invariants will be investigated with the aim to connect them, qualitatively and numerically,with the properties of interactions and particles as arising in the representations of its tan gent Minkowski spaces. Heinrich Saller is the author of Operational Quantum Theory I: Nonrelativistic Structures (Springer, 2006) andOperational Quantum Theory II: Relativistic Structures (Springer, 2006) |
Note: | Springer eBooks |
Contents: | Introduction and Orientation |
Einstein's Gravity | |
Riemannian Manifolds | |
Mass Points | |
Quantum Mechanics | |
Quantum Fields of Flat Spacetime | |
External and Internal Operations | |
Relativities and Homogeneous Spaces | |
Representation Coefficients | |
Convolutions and Product Representations | |
Interactions and Kernels | |
Electroweak Spacetime | |
Masses and Coupling Constants | |
ISBN: | 9781441908988 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Fundamental Theories of Physics : v163 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Mathematical physics |
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Call number: | SPRINGER-2010-9780817648701:ONLINE Show nearby items on shelf |
Title: | Continuum Mechanics [electronic resource] : Advanced Topics and Research Trends |
Author(s): |
Antonio Romano Addolorata Marasco |
Date: | 2010 |
Edition: | 1 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors previous book, ContinuumMechanics using Mathemat ica, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields. Specific topics, which have been chosento show the power of continuum mechanics to char acterize the experimental behavior of real phenomena, include: * various aspects of nonlinear elasticity, including equilibrium equations and their variational formulation, nonlinearconstitutive equations, existence and uniqueness theorems of Van Buren an d Stoppelli, and Signorini's method with some extensions to live loads and acceleration waves * continua with directors * a model of a continuum with anonmaterial moving interface * mixture theory: The Gibbs Rule in a binary mixture * interaction between electric or magnetic fields with matter * micromagnetism * continua in special relativity and relativistic interactions betweenmatter and electromagnetic fields Appendices are included to provide background information on topics such as surface geometry, first-order PDEs, and weak solutions to models. Mathematica notebooks also accompanying the text areavailable for download at http://www.birkhauser.com/978-0-8176-4869-5. Aimed at advanced graduate students, applied mathematicians, mathematical physicists , and engineers, the work will be an excellent self-study reference orsupplementary textbook in graduate-level courses focusing on advanced topics and research trends in continuum mechanics |
Note: | Springer eBooks |
Contents: | Preface |
Nonlinear Elasticity | |
Micropolar Elasticity | |
Continuous Systems with Nonmaterial Interface | |
Phase Equilibrium | |
Stationary and Time | |
Dependent Phase Changes | |
An Introduction to Mixture Theory | |
Electromagnetism in Matter | |
Introduction to Magnetofluid Dynamics | |
Continua with an Interface and Micromagnetism | |
Relativistic Continuous Systems | |
Appendix A: A Brief Introduction to Weak Solutions | |
Appendix B: Elements of Surface Geometry | |
Appendix C: First | |
Order PDE | |
Appendix D: The Tensor Character of Some Physical Quantities | |
References | |
Index | |
ISBN: | 9780817648701 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modeling and Simulation in Science, Engineering and Technology |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mechanics , Mechanics, applied , Materials |
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Call number: | SPRINGER-2009-9783642019623:ONLINE Show nearby items on shelf |
Title: | Relativity and the Nature of Spacetime [electronic resource] |
Author(s): |
Vesselin Petkov |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | The most important question that is addressed in this book is what is the nature (the ontological status) of spacetime? or, equivalently, what is the dimensionality of the world at the macroscopic level? The answer tothis question is developed via a thorough analysis of relativistic effects and explicitly asking whether the objects involved in those effects are three-dimensional or four-dimensional. This analysis clearly shows that if the world andthe physical objects were three-dimensional, none of the kinematic relativistic effects and the experimental evidence supporting them would be possible. The implications of this result for physics, philosophy, and our entire world vieware discussed. This new edition has been significantly expanded with new sections, appendices, notes and references. The arguments of the previous edition are strengthened new developments in the field are presented and integrated toyield a thoroughly convincing and clear treatment |
Note: | Springer eBooks |
Contents: | Introduction |
On the Impossibility of Detecting Uniform Motion | |
Exploring the Internal Logic of Galileo's Principle of Relativity | |
Relativity in Euclidean Space and in Spacetime | |
Relativity and the Dimensionality of the World: Spacetime Is Real | |
Quantum Mechanics and the Nature of Spacetime | |
The Nature of Spacetime and the Validity of Scientific Theories | |
Propagation of Light in Non | |
inertial Reference Frames | |
Calculating the Electric Field of a Charge in a Non | |
inertial Reference Frame | |
Inertia as a Manifestation of the Reality of Spacetime | |
Appendices | |
References | |
Index | |
ISBN: | 9783642019623 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | The Frontiers Collection, 1612-3018 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics |
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Call number: | SPRINGER-2009-9783540748656:ONLINE Show nearby items on shelf |
Title: | Euler as Physicist [electronic resource] |
Author(s): |
Dieter Suisky |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
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Note: | Euler as Physicist analyzes the exceptional role of Leonhard Euler (1707 - 1783) in the history of science and emphasizes especially his fundamental contributions to physics. Although Euler is famous as the leadingmathematician of the 18th century, h is contributions to physics are as important for their innovative methods and solutions. Several books are devoted to Euler as mathematician, but none to Euler as physicist, like in this book.Eulers contributions to mechanics are rooted in his life-long p lan presented in two volume treatise programmatically entitled Mechanics or the science of motion analytically demonstrated. Published in 1736, Eulers treatiseindicates the turn over from the traditional geometric representation of mechanics to a new appr oach. In writing Mechanics Euler did the first step to put the plan and his completion into practice through 1760. It is of particularinterest to study how Euler made immediate use of his mathematics for mechanics and coordinated his progress in mathemati cs with his progress in physics. Euler's mechanics is not only a model for a consistently formulated theory, butallows for generalizations of Euler's principles. It is shown that even problems in contemporary physics may be advantageously reconsidered and reformulated in terms of Euler's early unified approach. The interplay between physics andmathematics which appeared in the 18th century is compared to the development of physics in the 20th century, especially to the development of quantum mechanics bet ween 1900 and 1930. The author aims to show how Euler' work representsa rare example of a simultaneous and harmonic composition of results of different origin and nature which have been joined into a unique and marvellous result |
Note: | Springer eBooks |
Contents: | The Predecessors: Descartes, Newton and Leibniz |
Newton and Leibniz on Time, Space and Forces | |
Newton and Leibniz on the Foundation of the Calculus | |
Eulers Program for Mechanics | |
The Foundation of the Calculus | |
Eulers Early Relativistic Theory | |
Eulers Wirksamkeit, Helmholtzs Treatment of Energy Law and Beyond | |
Eulers Mechanics and Schrdingers Quantum Mechanics | |
ISBN: | 9783540748656 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematics_$xHistory , Mechanics , Physics History |
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Call number: | SPRINGER-2009-9781402091070:ONLINE Show nearby items on shelf |
Title: | Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle [electronic resource] : Essays in Honour of Abner Shimony |
Author(s): |
Wayne C Myrvold Joy Christian |
Date: | 2009 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | In July 2006, a major international conference was held at the Perimeter Institute for Theoretical Physics, Canada, to celebrate the career and work of a remarkable man of letters. Abner Shimony, who is well known for hispioneering contributions to f oundations of quantum mechanics, is a physicist as well as a philosopher, and is highly respected among the intellectuals of both communities. In line with Shimonys conviction that philosophicalinvestigation is not to be divorced from theoretical and empi rical work in the sciences, the conference brought together leading theoretical physicists, experimentalists, as well as philosophers. This book collects twenty-threeoriginal essays stemming from the conference, on topics including history and methodology of science, Bell's theorem, probability theory, the uncertainty principle, stochastic modifications of quantum mechanics, and relativity theory.It ends with a transcript of a fascinating discussion between Lee Smolin and Shimony, ranging over the entire spectrum of Shimony's wide-ranging contributions to philosophy, science, and philosophy of science |
Note: | Springer eBooks |
Contents: | Passion at a Distance |
Philosophy, Methodology and History | |
Balancing Necessity and Fallibilism: Charles Sanders Peirce on the Status of Mathematics and its Intersection with the Inquiry into Nature | |
Newton's Methodology | |
Whitehead's Philosophy and Quantum Mechanics (QM) | |
Bohr and the Photon | |
Bell's Theorem and Nonlocality | |
Extending the Concept of an Element of Reality to Work with Inefficient Detectors | |
A General Proof of Nonlocality without Inequalities for Bipartite States | |
On the Separability of Physical Systems | |
Bell Inequalities: Many Questions, a Few Answers | |
ISBN: | 9781402091070 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | The Western Ontario Series in Philosophy of Science, 1566-659X : v73 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Science Philosophy , Quantum theory |
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Call number: | SPRINGER-2008-9783540850625:ONLINE Show nearby items on shelf |
Title: | Advanced Quantum Mechanics [electronic resource] |
Author(s): |
Franz Schwabl |
Date: | 2008 |
Edition: | 4 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
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Note: | Advanced Quantum Mechanics, the second volume on quantum mechanics by Franz Schwabl, discusses nonrelativistic multi-particle systems, relativistic wave equations and relativistic quantum fields. Characteristic of the authorswork are the comprehensiv e mathematical discussions in which all intermediate steps are derived and where numerous examples of application and exercises help the reader gain a thorough working knowledge of the subject. The topicstreated in the book lay the foundation for advanced studies in solid-state physics, nuclear and elementary particle physics. This text both extends and complements Schwabls introductory Quantum Mechanics, which covers nonrelativisticquantum mechanics and offers a short treatment of the quantization of the radiation field. The fourth edition has been thoroughly revised with new material having been added. Furthermore, the layout of the figures has been unified,which should facilitate comprehension |
Note: | Springer eBooks |
Contents: | Nonrelativistic Many |
Particle Systems | |
Second Quantization | |
Spin | |
1/2 Fermions | |
Bosons | |
Correlation Functions, Scattering, and Response | |
Relativistic Wave Equations | |
Relativistic Wave Equations and their Derivation | |
Lorentz Transformations and Covariance of the Dirac Equation | |
Orbital Angular Momentum and Spin | |
The Coulomb Potential | |
The FoldyWouthuysen Transformation and Relativistic Corrections | |
Physical Interpretation of the Solutions to the Dirac Equation | |
Symmetries and Further Properties of the Dirac Equation | |
Relativistic Fields | |
Quantization of Relativisti | |
ISBN: | 9783540850625 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry , Quantum theory , Quantum computing |
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Call number: | SPRINGER-2008-9783540786597:ONLINE Show nearby items on shelf |
Title: | An Introduction to the Relativistic Theory of Gravitation [electronic resource] |
Author(s): |
Petr Hjek |
Date: | 2008 |
Edition: | 1 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | The geometric interpretation of gravitation is one of the major foundations of modern theoretical physics. This primer introduces classical general relativity with emphasis on the clarity of conceptual structure and on the basicmathematical methods t o build up systematically application skills. The wealth of physical phenomena entailed by the Einsteins equations is revealed with the help of specific models describing gravitomagnetism, gravitational waves,cosmology, gravitational collapse and black ho les. End-of-chapter exercises complete the main text. This book is based on class-tested notes for courses that have been held by the author over many years at the University of Bern, whereEinstein worked at the local patent office and where the foundatio ns of special relativity were laid |
Note: | Springer eBooks |
Contents: | Geometrization of Mechanics |
Relativistic Particle Dynamics in Gravitational Fields | |
Field Dynamics | |
Dynamics of Gravity | |
Cosmological Models | |
Rotationally Symmetric Models of Stars | |
Stationary Black Holes | |
ISBN: | 9783540786597 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v750 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Global differential geometry |
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Call number: | SPRINGER-2008-9783540769569:ONLINE Show nearby items on shelf |
Title: | Mathematical Theory of Feynman Path Integrals [electronic resource] : An Introduction |
Author(s): |
Sergio A Albeverio Raphael J Hegh-Krohn Sonia Mazzucchi |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non-relativistic quantum mechanics to quantum fields, including gauge fields, gravitation,cosmology. Recently ideas bas ed on Feynman path integrals have also played an important role in areas of mathematics like low-dimensional topology and differential geometry, algebraic geometry, infinite-dimensional analysis andgeometry, and number theory. The 2nd edition of LNM 523 i s based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. To take care of the many developments since then, an entire newchapter on the current forefront of research has been added. Except for this new ch apter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapterthe reader will also find notes with further bibliographical information |
Note: | Springer eBooks |
Contents: | Preface to the second edition |
Preface to the first edition | |
1.Introduction | |
2.The Fresnel Integral of Functions on a Separable Real Hilbert Spa | |
3.The Feynman Path Integral in Potential Scattering | |
4.The Fresnel Integral Relative to a Non | |
singular Quadratic Form | |
5.Feynman Path Integrals for the Anharmonic Oscillator | |
6.Expectations with Respect to the Ground State of the Harmonic Oscillator | |
7.Expectations with Respect to the Gibbs State of the Harmonic Oscillator | |
8.The Invariant Quasi | |
free States | |
9.The Feynman Hystory Integral for the Relativistic Quantum Boson Field | |
ISBN: | 9783540769569 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v523 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis , Global analysis , Operator theory , Distribution (Probability theory) , Quantum theory |
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Call number: | SPRINGER-2008-9783540731689:ONLINE Show nearby items on shelf |
Title: | Introduction to Relativistic Continuum Mechanics [electronic resource] |
Author(s): |
G Ferrarese D Bini |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | This mathematically-oriented introduction takes the point of view that students should become familiar, at an early stage, with the physics of relativistic continua and thermodynamics within the framework of special relativity.Therefore, in addition to standard textbook topics such as relativistic kinematics and vacuum electrodynamics, the reader will be thoroughly introduced to relativistic continuum and fluid mechanics. Emphasis in the presentation is onthe 3+1 splitting technique, widely used in g eneral relativity for introducing the relative observers point of view |
Note: | Springer eBooks |
Contents: | Classical Physics: Axiomatic Formulation |
Spacetime Geometry and Relativistic Kinematics | |
Test Particle Dynamics | |
Applications | |
Relativistic Kinematics for a 3 | |
d Continuum | |
Elements of Classical Dynamics of a Continuum | |
Elements of Relativistic Dynamics of a Continuum | |
Elements of Relativistic Thermodynamics of a Continuum | |
Relativistic Electromagnetism in Vacuum | |
References | |
Index | |
ISBN: | 9783540731689 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics : v727 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Global differential geometry , Mathematical physics , Thermodynamics , Relativity (Physics) , Materials |
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Call number: | SPRINGER-2008-9780817645953:ONLINE Show nearby items on shelf |
Title: | Integrable Systems in Celestial Mechanics [electronic resource] |
Author(s): |
Diarmuid Mathna |
Date: | 2008 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | This work presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, thelatter being the more comp lex and more instructive, as it exhibits a richer and more varied solution structure. Further, because of the interesting investigations by the 20th century mathematical physicist J.P. Vinti, the Euler problemis now recognized as being intimately linked t o the Vinti (Earth-satellite) problem. Here the analysis of these problems is shown to follow a definite shared pattern yielding exact forms for the solutions. A central feature is thedetailed treatment of the planar Euler problem where the solutions are expressed in terms of Jacobian elliptic functions, yielding analytic representations for the orbits over the entire parameter range. This exhibits the rich andvaried solution patterns that emerge in the Euler problem, which are illustrated in the appendix . A comparably detailed analysis is performed for the Earth-satellite (Vinti) problem. Key features: * Highlights shared features in theunified treatment of the Kepler, Euler, and Vinti problems * Raises challenges in analysis and astronomy, placing this trio of problems in the modern context * Includes a full analysis of the planar Euler problem * Highlights thecomplex and surprising orbit patterns that arise from the Euler problem * Provides a detailed analysis and solution for the Earth-satellite probl em The analysis and results in this work will be of interest to graduate students inmathematics and physics (including physical chemistry) and researchers concerned with the general areas of dynamical systems, statistical mechanics, and mathematical physi cs and has direct application to celestial mechanics, astronomy,orbital mechanics, and aerospace engineering |
Note: | Springer eBooks |
Contents: | General Introduction |
The Kepler Problem (Two | |
Body Problem): the central Newtonian potential | |
Bernoulli solution | |
Features of the central Newtonian potential | |
The Non | |
Central Newtonian Potential | |
The Euler problem: two fixed centers of attraction | |
The Vinti problem: earth | |
satellite theory | |
Implications for perturbation theories | |
Relativistic context | |
Index | |
ISBN: | 9780817645953 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematical Physics : v51 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Mathematical physics , Statistical physics , Mechanics , Astronomy |
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Call number: | SPRINGER-2008-9780387752525:ONLINE Show nearby items on shelf |
Title: | Theoretical Kaleidoscope [electronic resource] |
Author(s): |
I. B Khriplovich |
Date: | 2008 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | According to Newton, In studies of science, examples are more useful than rules. With Theoretical Kaleidoscope, by Iosif Khriplovich, many concrete problems in classical mechanics, classical electrodynamics, quantummechanics, and relativistic quantum mechanics are solved. This book is not a systematic course on theoretical physics. Rather, it uses intuitive, qualitative arguments to solve selected problems of this remarkable science. The book isbased on lectures given by the author over many years. T he main source of problems addressed in the book are taken from the author's own investigations, as well as discussions with colleagues and students. With this book, the authorhopes readers will be able to see the examples and engage in thoughtful discuss ions and arguments of their own. Topics discussed in this book include: classical mechanics wave phenomena atomic physics semiclassical approximation incomplex plane quantum electrodynamics Theoretical Kaleidoscope is intended for students and physicists, both theoretical and experimentalist, and those who will appreciate seeing theoretical physics through innovative qualitativeanalysis |
Note: | Springer eBooks |
Contents: | Unexpected Questions in Classical Mechanics |
Classical Electrodynamics and Waves Without Calculations | |
Atomic Physics Almost Without Calculations | |
Semiclassical Approximation in Complex Plane | |
Deuteron: Hydrogen Atom of Nuclear Physics | |
Quantum Electrodynamics with Minimum Calculations | |
ISBN: | 9780387752525 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v747 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Nuclear physics |
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Call number: | SPRINGER-2008-9780387736310:ONLINE Show nearby items on shelf |
Title: | Gravity, Black Holes, and the Very Early Universe [electronic resource] : An Introduction to General Relativity and Cosmology |
Author(s): |
Tai L Chow |
Date: | 2008 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In the early 1900s, Albert Einstein formulated two theories that would forever change the landscape of physics: the Special Theory of Relativity and the General Theory of Relativity. By 1925, quantum mechanics had been born outof the dissection of th ese two theories, and shortly after that, relativistic quantum field theory. We now had in place some important ties between the laws of physics and the types of particle interactions the new physics wasuncovering. Gravity is one of the four types of forc es that are found throughout the universe. In fact, although it is a relatively weak force, it operates at huge distances, and so must be accounted for in any cosmological system.Unfortunately, gravity continues to defy our neat categorization of how all the forces in nature work together. Professor Tai Chow, from the California State University at Stanislaus in Turlock, lays out for us the basic ideas ofEinstein, including his law of gravitation, explains the physics behind black holes, and weaves into t his an absorbing account an explanation of the structure of the universe and the science of cosmology, including presenting thevarious models of the Big Bang, the Inflationary Universe, and the Unification of Forces. Travel with him down this engaging pat h to reach some fascinating conclusions, which raise even more interesting questions for the future ofastronomy and physics. Says Dr. Mark Silverman of Trinity College in Hartford, Connecticut: The author introduces the mathematical methods essential to understanding and applying general relativitybut leaves to more advancedreferences derivations that a beginning student would likely find overly long and tedious. In this way the student can concentrate on learning physics .A strong point [is] the compreh ensive discussion of the physics of blackholes. Here again the author has hit just the right level of presentation: sufficient mathematical detail to demonstrate the physical attributes |
Note: | Springer eBooks |
Contents: | Basic Ideas of General Relativity |
Curvilinear Coordinates and General Tensors | |
Einstein's Law of Gravitation | |
The Schwarzschild Solution | |
Experimental Tests of Einstein's Theory | |
The Physics of Black Holes | |
to Cosmology | |
Big Bang Models | |
Particles, Forces, and Unification of Forces | |
The Inflationary Universe | |
The Physics of the Very Early Universe | |
ISBN: | 9780387736310 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics , Mechanics , Astronomy |
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Call number: | SPRINGER-2007-9788847006072:ONLINE Show nearby items on shelf |
Title: | Introduction to the Basic Concepts of Modern Physics [electronic resource] : Special Relativity, Quantum and Statistical Physics |
Author(s): |
Carlo Maria Becchi Massimo DElia |
Date: | 2007 |
Publisher: | Milano : Springer Milan : Imprint: Springer |
Size: | 1 online resource |
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Note: | Springer 2013 e-book collections |
Note: | These notes are designed as a text book for a course on the Modern Physics Theory for undergraduate students. The purpose is providing a rigorous and self-contained presentation of the simplest theoretical framework usingelementary mathematical tools . A number of examples of relevant applications and an appropriate list of exercises and answered questions are also given. The first part is devoted to Special Relativity concerning in particularspace-time relativity and relativistic kinematics. The seco nd part deals with Schroedinger's formulation of quantum mechanics. The presentation concerns mainly one dimensional problems, in particular tunnel effect, discrete energylevels and band spectra. The third part concerns the application of Gibbs statistica l methods to quantum systems and in particular to Bose and Fermi gasses |
Note: | Springer eBooks |
ISBN: | 9788847006072 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | UNITEXT, 2038-5714 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Astrobiology |
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Call number: | SPRINGER-2007-9783540719335:ONLINE Show nearby items on shelf |
Title: | Quantum Mechanics [electronic resource] |
Author(s): |
Franz Schwabl |
Date: | 2007 |
Edition: | 4 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | This represents the introductory course which would precede and so complements the author's book on Advanced Quantum Mechanics. The new edition has been up-dated and thoroughly revised throughout and now includes many new ornewly drawn figures which will facilitate an easier understanding of subtle topics. The book meets students' needs in providing detailed mathematical steps along the way, with worked examples and applications throughout the text, andmany problems for the reader at the end of each chapter. It contains nonrelativistic quantum mechanics and a short treatment of the quantization of the radiation field. In addition to the essentials, topics such as the theory ofmeasurement, the Bell inequality, decoherence, entanglement and supersymmet ric quantum mechanics are discussed. Any student wishing to develop mathematical skills and deepen their understanding of the technical side of quantum theorywill find Schwabl's Quantum Mechanics very helpful. Contemporary Physics |
Note: | Springer eBooks |
Contents: | Historical and Experimental Foundations |
The Wave Function and the Schrdinger Equation | |
One | |
Dimensional Problems | |
The Uncertainty Relation | |
Angular Momentum | |
The Central Potential I | |
Motion in an Electromagnetic Field | |
Operators, Matrices, State Vectors | |
Spin | |
Addition of Angular Momenta | |
Approximation Methods for Stationary States | |
Relativistic Corrections | |
Several | |
Electron Atoms | |
The Zeeman Effect and the Stark Effect | |
Molecules | |
Time Dependent Phenomena | |
The Central Potential II | |
Scattering Theory | |
Supersymmetric Quantum Theory | |
State and Measurement | |
ISBN: | 9783540719335 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry , Quantum theory , Statistical physics |
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Call number: | SPRINGER-2007-9783540409342:ONLINE Show nearby items on shelf |
Title: | Introduction to the Classical Theory of Particles and Fields [electronic resource] |
Author(s): |
Boris Pavlovich Kosyakov |
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 volume is intended as a systematic introduction to gauge field theory for advanced undergraduate and graduate students in high energy physics. The discussion is restricted to the classical (non-quantum) theory in Minkowskispacetime. Particular a ttention has been given to conceptual aspects of field theory, accurate definitions of basic physical notions, and thorough analysis of exact solutions to the equations of motion for interacting systems. Twotheories covered by the book in great detail are the Maxwell-Lorentz electrodynamics and Yang-Mills-Wong theory |
Note: | Springer eBooks |
Contents: | Geometry of Minkowski Space |
Relativistic Mechanics | |
Electromagnetic Field | |
Solutions to Maxwell's Equations | |
Lagrangian Formalism in Electrodynamics | |
Self | |
Interaction in Electrodynamics | |
Lagrangian Formalism for Gauge Theories | |
Solutions to the Yang | |
Mills Equations | |
Self | |
Interaction in Gauge Theories | |
Generalizations | |
Mathematical Appendices | |
ISBN: | 9783540409342 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Relativity (Physics) , Particles (Nuclear physics) , Electromagnetism |
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Call number: | SPRINGER-2006-9783764374365:ONLINE Show nearby items on shelf |
Title: | Einstein, 19052005 [electronic resource] : Poincar Seminar 2005 |
Author(s): |
Thibault Damour Olivier Darrigol Bertrand Duplantier Vincent Rivasseau |
Date: | 2006 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The Poincar Seminar is held twice a year at the Institute Henri Poincar in Paris. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics. Both the theoretical andexperimental results are covere d, with some historical background. Particular care is devoted to the pedagogical nature of the presentation. This volume is devoted to Einstein's 1905 papers and their legacy. After a presentation ofEinstein's epistemological approach to physics, and the genesis of special relativity, a centenary perspective is offered. The geometry of relativistic spacetime is explained in detail. Single photon experiments are presented, as aspectacular realization of Einstein's light quanta hypothesis. A previously unp ublished lecture by Einstein, which presents an illuminating point of view on statistical physics in 1910, at the dawn of quantum mechanics, is reproduced.The volume ends with an essay on the historical, physical and mathematical aspects of Brownian motio n. Contributing authors: Jacques Bros Thibault Damour Olivier Darrigol Bertrand Duplantier Albert Einstein Philippe Grangier UgoMoschella Clifford M. Will Additional information (e.g. color versions of pictures) can be found at www.birkhauser.ch/3-7643-74 35-7 |
Note: | Springer eBooks |
Contents: | The Genesis of the Theory of Relativity |
Special Relativity: A Centenary Perspective | |
From Euclids Geometry to Minkowskis Spacetime | |
The de Sitter and anti | |
de Sitter Sightseeing Tour | |
Experiments with Single Photons | |
Einstein 19051955: His Approach to Physics | |
On Boltzmanns Principle and Some Immediate Consequences Thereof | |
Brownian Motion, Diverse and Undulating | |
ISBN: | 9783764374365 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematical Physics : v47 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Relativity (Physics) , Quantum theory , Physics History |
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Call number: | SPRINGER-2006-9783540334842:ONLINE Show nearby items on shelf |
Title: | Analytical and Numerical Approaches to Mathematical Relativity [electronic resource] |
Author(s): |
Jrg Frauendiener Domenico J.W Giulini Volker Perlick |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Today, general relativity rates among the most accurately tested fundamental theories in all of physics. However, deficiencies in our mathematical and conceptual understanding still exist, and these partly hamper further progress.For this reason alon e, but no less important from the point of view that a theory-based prediction should be regarded as no better than one's own structural understanding of the underlying theory, one should undertake seriousinvestigations into the corresponding mathematical issues. This book contains a representative collection of surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There arefour contributions for each of the following mathematical areas: differen tial geometry and differential topology, analytical methods and differential equations, and numerical methods. This book addresses graduate students andspecialist researchers alike |
Note: | Springer eBooks |
Contents: | A Personal Perspective on Global Lorentzian Geometry |
The Space of Null Geodesics (and a New Causal Boundary) | |
Some Variational Problems in Semi | |
Riemannian Geometry | |
On the Geometry of pp | |
Wave type Spacetimes | |
Concepts for Hyperbolicity and Relativistic Continuum Mechanics | |
Elliptic Systems | |
Mathematical Properties of Cosmological Models with Accelerated Expansion | |
The Poincar Structure and the Centre | |
of | |
Mass of Asymptotically Flat Spacetimes | |
Computer Simulation | |
a Tool For Mathematical Relativity | |
and Vice Versa | |
On Boundary Conditions for the Einstein Equations | |
Rece | |
ISBN: | 9783540334842 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v692 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Global differential geometry , Cell aggregation Mathematics , Mathematical physics , Relativity (Physics) |
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Call number: | SPRINGER-2006-9783540293156:ONLINE Show nearby items on shelf |
Title: | High-Energy-Density Physics [electronic resource] : Fundamentals, Inertial Fusion, and Experimental Astrophysics |
Author(s): |
R. Paul Drake Lee Davison Yasuyuki Horie |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The raw numbers of high-energy-density physics are amazing: shock waves at hundreds of km/s (approaching a million km per hour), temperatures of millions of degrees, and pressures that exceed 100 million atmospheres. This bookintroduces the reader to the fundamental tools and discoveries of high-energy-density physics. It surveys the production of high-energy-density conditions, the fundamental plasma and hydrodynamic models that can describe them and theproblem of scaling from the laboratory to the cosmos. Connections to astrophysics are discussed throughout. The book is intended to support coursework in high-energy-density physics, to meet the needs of new researchers in this field,and also to serve as a useful reference on the fundamentals. Specif ically the book has been designed to enable academics in physics, astrophysics, applied physics and engineering departments to provide in a single-course introductionto fluid mechanics and radiative transfer, with dramatic applications in the field of hig h-energy-density systems |
Note: | Springer eBooks |
Contents: | to High |
Energy | |
Density Physics | |
Descriptions of Fluids and Plasmas | |
Properties of High | |
Energy | |
Density Plasmas | |
Shocks and Rarefactions | |
Hydrodynamic Instabilities | |
Radiative Transfer | |
Radiation Hydrodynamics | |
Creating High | |
Energy | |
Density Conditions | |
Inertial Confinement Fusion | |
Experimental Astrophysics | |
Relativistic High | |
Energy | |
Density Systems | |
ISBN: | 9783540293156 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Shock Wave and High Pressure Phenomena |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Fluids , Astrophysics , Plasma (Ionized gases) , Laser physics |
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