Relativistic many-body theory and statistical mechanics
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Bibliographic Information
Relativistic many-body theory and statistical mechanics
（IOP concise physics）
Morgan & Claypool, c2018
- : pbk
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"A Morgan & Claypool publication as part of IOP Concise Physics"--T.p. verso
"IOP ebooks"--Cover
Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
Introduction
Many-body relativistic mechanics and gauge theory
Quantum mechanical two-body problem and consequences for many-body systems
Scattering theory
Classical relativistic statistical mechanics
Quantum relativistic statistical mechanics, spin statistics and quantum field theory
Discussion and outlook
by "Nielsen BookData"