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SPIRES-BOOKS: FIND KEYWORD RELATIVISTIC MECHANICS *END*INIT* use /tmp/qspiwww.webspi1/1157.123 QRY 131.225.70.96 . find keyword relativistic mechanics ( in books using www Cover
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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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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
Note:Springer e-book platform
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
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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
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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
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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
Note:Springer 2013 e-book collections
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
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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
Note:Springer 2013 e-book collections
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
Note:Springer e-book platform
Note:Springer 2013 e-book collections
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
Note:Springer 2013 e-book collections
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
Note:Springer e-book platform
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 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
Note:Springer e-book platform
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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
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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
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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
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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
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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
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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
Note:Springer 2013 e-book collections
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
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Note:Springer 2013 e-book collections
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
Note:Springer 2013 e-book collections
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
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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: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
Note:Springer 2013 e-book collections
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
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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
Note:Springer 2013 e-book collections
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
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
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