Relativistic Many Body Theory And Statistical Mechanics
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Relativistic Many Body Theory And Statistical Mechanics
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Author : Lawrence P. Horwitz
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2018-05-31
Relativistic Many Body Theory And Statistical Mechanics written by Lawrence P. Horwitz and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-31 with Science categories.
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.
Relativistic Many Body Theory And Statistical Mechanics
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Author : Lawrence P Horwitz
language : en
Publisher: Morgan & Claypool
Release Date : 2018-05-24
Relativistic Many Body Theory And Statistical Mechanics written by Lawrence P Horwitz and has been published by Morgan & Claypool this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-24 with Science categories.
Relativistic Many-Body Theory and Statistical Mechanics explains the development of the SHP theory, both classical and quantum, and reviews its basic concepts. It gives examples of its applications, such as the explanation of the Lindner et al experiment and the proposed experiment of Palacios et al.
Relativistic Many Body Theory And Statistical Mechanics
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Author : Lawrence Paul Horwitz
language : en
Publisher:
Release Date : 2018
Relativistic Many Body Theory And Statistical Mechanics written by Lawrence Paul Horwitz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with SCIENCE categories.
This book explains the development of the SHP theory, reviews its basic concepts, and gives examples of its applications..
Introduction To Relativistic Statistical Mechanics
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Author : Rmi Hakim
language : en
Publisher: World Scientific
Release Date : 2011
Introduction To Relativistic Statistical Mechanics written by Rmi Hakim and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.
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.
Classical Relativistic Many Body Dynamics
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Author : M.A. Trump
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-07-31
Classical Relativistic Many Body Dynamics written by M.A. Trump and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-07-31 with Science categories.
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.
Introduction To The Basic Concepts Of Modern Physics
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Author : Carlo Maria Becchi
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-04
Introduction To The Basic Concepts Of Modern Physics written by Carlo Maria Becchi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-04 with Science categories.
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 using elementary mathematical tools. A number of examples of relevant applications and an appropriate list of exercises and answered questions are also given.
Introduction To Many Body Physics
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Author : Piers Coleman
language : en
Publisher: Cambridge University Press
Release Date : 2015-11-26
Introduction To Many Body Physics written by Piers Coleman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-26 with Science categories.
This book explains the tools and concepts needed for a research-level understanding of the subject, for graduate students in condensed matter physics.
A Course In Theoretical Physics
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Author : P. John Shepherd
language : en
Publisher: John Wiley & Sons
Release Date : 2013-03-18
A Course In Theoretical Physics written by P. John Shepherd and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-18 with Science categories.
This book is a comprehensive account of five extended modules covering the key branches of twentieth-century theoretical physics, taught by the author over a period of three decades to students on bachelor and master university degree courses in both physics and theoretical physics. The modules cover nonrelativistic quantum mechanics, thermal and statistical physics, many-body theory, classical field theory (including special relativity and electromagnetism), and, finally, relativistic quantum mechanics and gauge theories of quark and lepton interactions, all presented in a single, self-contained volume. In a number of universities, much of the material covered (for example, on Einstein’s general theory of relativity, on the BCS theory of superconductivity, and on the Standard Model, including the theory underlying the prediction of the Higgs boson) is taught in postgraduate courses to beginning PhD students. A distinctive feature of the book is that full, step-by-step mathematical proofs of all essential results are given, enabling a student who has completed a high-school mathematics course and the first year of a university physics degree course to understand and appreciate the derivations of very many of the most important results of twentieth-century theoretical physics.
Relativistic Classical Mechanics And Electrodynamics
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Author : Martin Land
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2019-12-05
Relativistic Classical Mechanics And Electrodynamics written by Martin Land and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-05 with Science categories.
This book presents classical relativistic mechanics and electrodynamics in the Feynman-Stueckelberg event-oriented framework formalized by Horwitz and Piron. The full apparatus of classical analytical mechanics is generalized to relativistic form by replacing Galilean covariance with manifest Lorentz covariance and introducing a coordinate-independent parameter τ to play the role of Newton's universal and monotonically advancing time. Fundamental physics is described by the τ-evolution of a system point through an unconstrained 8D phase space, with mass a dynamical quantity conserved under particular interactions. Classical gauge invariance leads to an electrodynamics derived from five τ-dependent potentials described by 5D pre-Maxwell field equations. Events trace out worldlines as τ advances monotonically, inducing pre-Maxwell fields by their motions, and moving under the influence of these fields. The dynamics are governed canonically by a scalar Hamiltonian that generates evolution of a 4D block universe defined at τ to an infinitesimally close 4D block universe defined at τ+dτ. This electrodynamics, and its extension to curved space and non-Abelian gauge symmetry, is well-posed and integrable, providing a clear resolution to grandfather paradoxes. Examples include classical Coulomb scattering, electrostatics, plane waves, radiation from a simple antenna, classical pair production, classical CPT, and dynamical solutions in weak field gravitation. This classical framework will be of interest to workers in quantum theory and general relativity, as well as those interested in the classical foundations of gauge theory.
Quantum Statistical Mechanics
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Author : W. C. Schieve
language : en
Publisher:
Release Date : 2009
Quantum Statistical Mechanics written by W. C. Schieve and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Quantum statistics categories.
Many-body theory stands at the foundation of modern quantum statistical mechanics. It is introduced here to graduate students in physics, chemistry, engineering and biology. The book provides a contemporary understanding of irreversibility, particularly in quantum systems.