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Mathematical Foundations of Quantum Statistical Mechanics : Continuous Systems :  Continuous Systems - D. Ya Petrina

Mathematical Foundations of Quantum Statistical Mechanics : Continuous Systems

Continuous Systems

Hardcover Published: January 1995
ISBN: 9780792332589
Number Of Pages: 445

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This monograph is devoted to the study of equilibrium and nonequilibrium states of infinite continuous systems in quantum statistical mechanics. The states of these systems are described by infinite sequences of statistical operators (reduced density matrices) or Green's functions which satisfy the infinite hierarchy of integro-differential equations. The investigation of these equations and constructing their solutions is the main subject of this work. Model systems in the theories of superconductivity and superfluidity and other exactly solvable models are studied in detail. This volume will be of interest to mathematical and theoretical physicists and applied mathematicians interested in quantum statistical mechanics.

Introduction
Evolution of States of Quantum Systems of Finitely Many Particlesp. 1
Evolution of States of Infinite Quantum Systemsp. 57
Thermodynamic Limitp. 123
Mathematical Problems in the Theory of Superconductivityp. 181
Green's Functionsp. 253
Exactly Solvable Modelsp. 307
Quasiaverages. Theorem on Singularities of Green's Functions of 1/q[superscript 2]-Typep. 401
Subject Indexp. 441
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792332589
ISBN-10: 079233258X
Series: Mathematical Physics Studies
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 445
Published: January 1995
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 2.54
Weight (kg): 0.82

Earn 426 Qantas Points
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