Relativistic many-body theory and statistical mechanics /

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"Version: 20180501"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Many-body relativistic mechanics and gauge theory -- 2.1. The classical two-body problem -- 2.2. The classical N-body problem -- 2.3. Electromagnetism3. Quantum mechanical two-body problem and consequences for many-body systems -- 3.1. The two-body bound states for scalar particles -- 3.2. The many-body problem and the RMS -- 3.3. The Stueckelberg string -- 3.4. The induced representation -- 3.5. Two-body partial wave analysis for scattering -- 3.6. Unitarity and the Levinson theorem -- 3.7. Cross sections4. Scattering theory -- 4.1. Foundations of relativistic scattering theory -- 4.2. The S matrix -- 4.3. Interaction picture perturbation expansion -- 4.4. The Gell-Mann-Low theorem -- 4.5. Green's functions and the T matrix5. Classical relativistic statistical mechanics -- 5.1. Relativistic Gibbs ensemble -- 5.2. Stability of the mass of an SHP particle -- 5.3. Canonical thermodynamics -- 5.4. Fluctuations in mass and energy -- 5.5. Grand canonical ensemble -- 5.6. Grand canonical thermodynamics -- 5.7. Conclusions6. Quantum relativistic statistical mechanics, spin statistics and quantum field theory -- 6.1. Relativistic quantum statistical mechanics -- 6.2. The ideal free quantum gas -- 6.3. Relativistic high temperature Boson phase transition -- 6.4. Quantization of the electromagnetic field and black-body radiation -- 6.5. Manifestly covariant relativistic Boltzmann equation -- 6.6. Spin, statistics and correlations -- 7. Discussion and outlook.This book explains the development of the SHP theory, reviews its basic concepts, and gives examples of its applications.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Lawrence Paul Horwitz studied Engineering Physics at the New York University College of Engineering, and then moved on to Harvard University where he received his doctorate in 1957. He worked at IBM Watson Research Laboratory, The University of Genova, and CERN, before accepting a full professorship at Tel Aviv University. He is currently Professor Emeritus at Tel Aviv University, Bar Ilan University and Ariel University. Rafael Arshansky received his Master's Degree for his work on 'Coherent States in Relativistic Quantum Theory' from the Lomonosov Moscow State University. He obtained his PhD at Tel Aviv University for his work 'Topics in Relativistic Quantum Theory: Two Body Bound States and Scattering Theory', under the supervision of L.P. Horwitz. His present fields of interest are the relativistic dynamics of events with any number of degrees of freedom in classical and quantum mechanics, and general relativity.Title from PDF title page (viewed on June 12, 2018).

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Publisher

: .,

Collation

1 online resource (various pagings) :illustrations.

Language

English

ISBN/ISSN

9781681749488

Classification

530.14/4

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Subject(s)

Statistical mechanics.
Classical mechanics.
SCIENCE / Physics / General.
Many-body problem.

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Statement of Responsibility

Lawrence P. Horwitz and Rafael I. Arshansky.

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