Classical Relativistic Many Body Dynamics

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Classical Relativistic Many-Body Dynamics

Author : M.A. Trump
Publisher : Springer Science & Business Media
ISBN 13 : 9401593035
Total Pages : 376 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Classical Relativistic Many-Body Dynamics by : M.A. Trump

Download or read book Classical Relativistic Many-Body Dynamics written by M.A. Trump and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid ered to be primarily the work of E.C.G. Stiickelberg in the 1940's, and of L.P. Horwitz and C. Piron in the 1970's, who may be said to have provided the generalization of Stiickelberg's theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system.

Classical Relativistic Many-Body Dynamics

Author : M.A. Trump
Publisher : Springer Science & Business Media
ISBN 13 : 9780792357377
Total Pages : 392 pages
Book Rating : 4.3/5 (573 download)

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Book Synopsis Classical Relativistic Many-Body Dynamics by : M.A. Trump

Download or read book Classical Relativistic Many-Body Dynamics written by M.A. Trump and published by Springer Science & Business Media. This book was released on 1999-07-31 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid ered to be primarily the work of E.C.G. Stiickelberg in the 1940's, and of L.P. Horwitz and C. Piron in the 1970's, who may be said to have provided the generalization of Stiickelberg's theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system.

Relativistic Many-Body Theory and Statistical Mechanics

Author : Lawrence P. Horwitz
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681749475
Total Pages : 145 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis Relativistic Many-Body Theory and Statistical Mechanics by : Lawrence P. Horwitz

Download or read book Relativistic Many-Body Theory and Statistical Mechanics written by Lawrence P. Horwitz and published by Morgan & Claypool Publishers. This book was released on 2018-05-31 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1941, E.C.G. Stueckelberg wrote a paper, based on ideas of V. Fock, that established the foundations of a theory that could covariantly describe the classical and quantum relativistic mechanics of a single particle. Horwitz and Piron extended the applicability of this theory in 1973 (to be called the SHP theory) to the many-body problem. It is the purpose of this book to explain this development and provide examples of its applications. We first review the basic ideas of the SHP theory, both classical and quantum, and develop the appropriate form of electromagnetism on this dynamics. After studying the two body problem classically and quantum mechanically, we formulate the N-body problem. We then develop the general quantum scattering theory for the N-body problem and prove a quantum mechanical relativistically covariant form of the Gell-Mann-Low theorem. The quantum theory of relativistic spin is then developed, including spin-statistics, providing the necessary apparatus for Clebsch-Gordan additivity, and we then discuss the phenomenon of entanglement at unequal times. In the second part, we develop relativistic statistical mechanics, including a mechanism for stability of the off-shell mass, and a high temperature phase transition to the mass shell. Finally, some applications are given, such as the explanation of the Lindneret alexperiment, the proposed experiment of Palacios et al which should demonstrate relativistic entanglement (at unequal times), the space-time lattice, low energy nuclear reactions and applications to black hole physics.

Classical Relativistic Many-Body Dynamics

Author : M.A. Trump
Publisher : Springer
ISBN 13 : 9789401593045
Total Pages : 370 pages
Book Rating : 4.5/5 (93 download)

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Book Synopsis Classical Relativistic Many-Body Dynamics by : M.A. Trump

Download or read book Classical Relativistic Many-Body Dynamics written by M.A. Trump and published by Springer. This book was released on 2013-01-07 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid ered to be primarily the work of E.C.G. Stiickelberg in the 1940's, and of L.P. Horwitz and C. Piron in the 1970's, who may be said to have provided the generalization of Stiickelberg's theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system.

Foundations of Mechanics

Author : Stanislaw Bazanski
Publisher : Elsevier
ISBN 13 : 1483291618
Total Pages : 614 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Foundations of Mechanics by : Stanislaw Bazanski

Download or read book Foundations of Mechanics written by Stanislaw Bazanski and published by Elsevier. This book was released on 2013-10-22 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last three decades the field of mechanics has seen spectacular progress due to the demand for applications in problems of cosmology, thermonuclear fusion, metallurgy, etc. This book provides a broad and thorough overview on the foundations of mechanics. It discusses theoretical mechanics and continuum mechanics, as well as phenomenological thermodynamics, quantum mechanics and relativistic mechanics. Each chapter presents the basic physical facts of interest without going into details and derivations and without using advanced mathematical formalism. The first part constitutes a classical exposition of Lagrange's and Hamilton's analytical mechanics on which most of the continuum theory is based. The section on continuum mechanics focuses mainly on the axiomatic foundations, with many pointers for further research in this area. Special attention is given to modern continuum thermodynamics, both for the foundations and applications. A section on quantum mechanics is also included, since the phenomenological description of various quantum phenomena is becoming of increasing importance. The work will prove indispensable to engineers wishing to keep abreast of recent theoretical advances in their field, as well as initiating and guiding future research.

Introduction To Relativistic Statistical Mechanics: Classical And Quantum

Author : Remi Joel Hakim
Publisher : World Scientific
ISBN 13 : 9814464120
Total Pages : 567 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Introduction To Relativistic Statistical Mechanics: Classical And Quantum by : Remi Joel Hakim

Download or read book Introduction To Relativistic Statistical Mechanics: Classical And Quantum written by Remi Joel Hakim and published by World Scientific. This book was released on 2011-03-28 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of the very few books focusing on relativistic statistical mechanics, and is written by a leading expert in this special field. It started from the notion of relativistic kinetic theory, half a century ago, exploding into relativistic statistical mechanics. This will interest specialists of various fields, especially the (classical and quantum) plasma physics. However, quantum physics — to which a major part is devoted — will be of more interest since, not only it applies to quantum plasma physics, but also to nuclear matter and to strong magnetic field, cosmology, etc. Although the domain of gauge theory is not covered in this book, the topic is not completely forgotten, in particular in the domain of plasma physics. This book is particularly readable for graduate students and a fortiori to young researchers for whom it offers methods and also appropriate schemes to deal with the current problems encountered in astrophysics, in strong magnetic, in nuclear or even in high energy physics.

Relativistic Quantum Mechanics

Author : Lawrence P. Horwitz
Publisher : Springer
ISBN 13 : 9401772614
Total Pages : 214 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Relativistic Quantum Mechanics by : Lawrence P. Horwitz

Download or read book Relativistic Quantum Mechanics written by Lawrence P. Horwitz and published by Springer. This book was released on 2015-08-04 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a relativistic quantum theory developed by the author starting from the E.C.G. Stueckelberg approach proposed in the early 40s. In this framework a universal invariant evolution parameter (corresponding to the time originally postulated by Newton) is introduced to describe dynamical evolution. This theory is able to provide solutions for some of the fundamental problems encountered in early attempts to construct a relativistic quantum theory. A relativistically covariant construction is given for which particle spins and angular momenta can be combined through the usual rotation group Clebsch-Gordan coefficients. Solutions are defined for both the classical and quantum two body bound state and scattering problems. The recently developed quantum Lax-Phillips theory of semi group evolution of resonant states is described. The experiment of Lindner and coworkers on interference in time is discussed showing how the property of coherence in time provides a simple understanding of the results. The full gauge invariance of the Stueckelberg-Schroedinger equation results in a 5D generalization of the usual gauge theories. A description of this structure and some of its consequences for both Abelian and non-Abelian fields are discussed. A review of the basic foundations of relativistic classical and quantum statistical mechanics is also given. The Bekenstein-Sanders construction for imbedding Milgrom's theory of modified spacetime structure into general relativity as an alternative to dark matter is also studied.

Quantum Field Theory of Many-Body Systems

Author : Xiao-Gang Wen
Publisher : OUP Oxford
ISBN 13 : 0191523968
Total Pages : 520 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Quantum Field Theory of Many-Body Systems by : Xiao-Gang Wen

Download or read book Quantum Field Theory of Many-Body Systems written by Xiao-Gang Wen and published by OUP Oxford. This book was released on 2004-06-04 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.

Relativity in Rotating Frames

Author : G. Rizzi
Publisher : Springer Science & Business Media
ISBN 13 : 9401705283
Total Pages : 462 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Relativity in Rotating Frames by : G. Rizzi

Download or read book Relativity in Rotating Frames written by G. Rizzi and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Even if the subject is a long-standing one, this is the first monograph on this field. On the one hand, this book is intended to give a rather wide review on this field, both in a historical and pedagogical perspective; on the other hand, it aims at critically re-examining and discussing the most controversial issues. For instance, according to some authors the celebrated Sagnac effect is a disproval of the theory of relativity applied to rotating frames; according to others, it is an astonishing experimental evidence of the relativistic theory. In order to give the reader a deeper insight into this research field, the contributing authors discuss their opinions on the main subjects in an enthralling virtual round table: in this way, the reader can get a direct comparison of the various viewpoints on the most controversial and interesting topics. This is particularly expedient, since the differences in the various approaches are often based upon subtleties that can be understood only by a direct comparison of the underlying hypotheses.

Classical Dynamics

Author : Jorge V. José
Publisher : Cambridge University Press
ISBN 13 : 9780521636360
Total Pages : 702 pages
Book Rating : 4.6/5 (363 download)

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Book Synopsis Classical Dynamics by : Jorge V. José

Download or read book Classical Dynamics written by Jorge V. José and published by Cambridge University Press. This book was released on 1998-08-13 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive graduate-level textbook on classical dynamics with many worked examples and over 200 homework exercises, first published in 1998.

Relativity and the Dimensionality of the World

Author : Vesselin Petkov
Publisher : Springer Science & Business Media
ISBN 13 : 1402063172
Total Pages : 283 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Relativity and the Dimensionality of the World by : Vesselin Petkov

Download or read book Relativity and the Dimensionality of the World written by Vesselin Petkov and published by Springer Science & Business Media. This book was released on 2007-10-08 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main focus of this volume is the question: is spacetime nothing more than a mathematical space (which describes the evolution in time of the ordinary three-dimensional world) or is it a mathematical model of a real four-dimensional world with time entirely given as the fourth dimension? The book contains fourteen invited papers which either directly address the main question of the nature of spacetime or explore issues related to it.

Classical Electromagnetic Theory

Author : Jack Vanderlinde
Publisher : Springer Science & Business Media
ISBN 13 : 1402027001
Total Pages : 427 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Classical Electromagnetic Theory by : Jack Vanderlinde

Download or read book Classical Electromagnetic Theory written by Jack Vanderlinde and published by Springer Science & Business Media. This book was released on 2006-01-17 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: In questions of science, the authority of a thousand is not worth the humble reasoning of a single individual. Galileo Galilei, physicist and astronomer (1564-1642) This book is a second edition of “Classical Electromagnetic Theory” which derived from a set of lecture notes compiled over a number of years of teaching elect- magnetic theory to fourth year physics and electrical engineering students. These students had a previous exposure to electricity and magnetism, and the material from the ?rst four and a half chapters was presented as a review. I believe that the book makes a reasonable transition between the many excellent elementary books such as Gri?th’s Introduction to Electrodynamics and the obviously graduate level books such as Jackson’s Classical Electrodynamics or Landau and Lifshitz’ Elect- dynamics of Continuous Media. If the students have had a previous exposure to Electromagnetictheory, allthematerialcanbereasonablycoveredintwosemesters. Neophytes should probable spend a semester on the ?rst four or ?ve chapters as well as, depending on their mathematical background, the Appendices B to F. For a shorter or more elementary course, the material on spherical waves, waveguides, and waves in anisotropic media may be omitted without loss of continuity.

Quantum Statistical Mechanics

Author : William C. Schieve
Publisher : Cambridge University Press
ISBN 13 : 0521841461
Total Pages : 429 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Quantum Statistical Mechanics by : William C. Schieve

Download or read book Quantum Statistical Mechanics written by William C. Schieve and published by Cambridge University Press. This book was released on 2009-04-16 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces many-body theory of modern quantum statistical mechanics to graduate students in physics, chemistry, engineering and biology.

Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena

Author : Andrei Y. Khrennikov
Publisher : Springer Science & Business Media
ISBN 13 : 9401704791
Total Pages : 250 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena by : Andrei Y. Khrennikov

Download or read book Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena written by Andrei Y. Khrennikov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we develop various mathematical models of information dynamics, I -dynamics (including the process of thinking), based on methods of classical and quantum physics. The main aim of our investigations is to describe mathematically the phenomenon of consciousness. We would like to realize a kind of Newton-Descartes program (corrected by the lessons of statistical and quantum mechanics) for information processes. Starting from the ideas of Newton and Descartes, in physics there was developed an adequate description of the dynamics of material systems. We would like to develop an analogous mathematical formalism for information and, in particular, mental processes. At the beginning of the 21st century it is clear that it would be impossible to create a deterministic model for general information processes. A deterministic model has to be completed by a corresponding statistical model of information flows and, in particular, flows of minds. It might be that such an information statistical model should have a quantum-like structure.

Relativity, Groups, Particles

Author : Roman U. Sexl
Publisher : Springer Science & Business Media
ISBN 13 : 3709162343
Total Pages : 388 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Relativity, Groups, Particles by : Roman U. Sexl

Download or read book Relativity, Groups, Particles written by Roman U. Sexl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook bridges the gap between the level of introductory courses on mechanics and electrodynamics and the level of application in high energy physics and quantum field theory. After explaining the postulates that lead to the Lorentz transformation and after going through the main points special relativity has to make in classical mechanics and electrodynamics, the authors gradually lead the reader up to a more abstract point of view on relativistic symmetry - illustrated by physical examples - until finally motivating and developing Wigner's classification of the unitary irreducible representations of the inhomogeneous Lorentz group. Numerous historical and mathematical asides contribute to the conceptual clarification.

Quantum Mechanics

Author : Ajoy Ghatak
Publisher : Springer Science & Business Media
ISBN 13 : 9781402021299
Total Pages : 936 pages
Book Rating : 4.0/5 (212 download)

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Book Synopsis Quantum Mechanics by : Ajoy Ghatak

Download or read book Quantum Mechanics written by Ajoy Ghatak and published by Springer Science & Business Media. This book was released on 2004-03-31 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of quantum mechanics is vital to all students of physics, chemistry and electrical engineering, but requires a lot of mathematical concepts, the details of which are given with great clarity in this book. Various concepts have been derived from first principles, so it can also be used for self-study. The chapters on the JWKB approximation, time-independent perturbation theory and effects of magnetic field stand out for their clarity and easy-to-understand mathematics. Two complete chapters on the linear harmonic oscillator provide a very detailed discussion of one of the most fundamental problems in quantum mechanics. Operator algebra is used to show the ease with which one can calculate the harmonic oscillator wave functions and study the evolution of the coherent state. Similarly, three chapters on angular momentum give a detailed account of this important problem. Perhaps the most attractive feature of the book is the excellent balance between theory and applications and the large number of applications in such diverse areas as astrophysics, nuclear physics, atomic and molecular spectroscopy, solid-state physics, and quantum well structures.

Classical Dynamics of Particles and Systems

Author : Jerry B. Marion
Publisher : Academic Press
ISBN 13 : 1483272818
Total Pages : 593 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Classical Dynamics of Particles and Systems by : Jerry B. Marion

Download or read book Classical Dynamics of Particles and Systems written by Jerry B. Marion and published by Academic Press. This book was released on 2013-10-22 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Dynamics of Particles and Systems presents a modern and reasonably complete account of the classical mechanics of particles, systems of particles, and rigid bodies for physics students at the advanced undergraduate level. The book aims to present a modern treatment of classical mechanical systems in such a way that the transition to the quantum theory of physics can be made with the least possible difficulty; to acquaint the student with new mathematical techniques and provide sufficient practice in solving problems; and to impart to the student some degree of sophistication in handling both the formalism of the theory and the operational technique of problem solving. Vector methods are developed in the first two chapters and are used throughout the book. Other chapters cover the fundamentals of Newtonian mechanics, the special theory of relativity, gravitational attraction and potentials, oscillatory motion, Lagrangian and Hamiltonian dynamics, central-force motion, two-particle collisions, and the wave equation.