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Mathematical Foundations of Quantum Statistical Mechanics : Continuous Systems

Continuous Systems

By: D.Y. Petrina

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Hardcover | 1 January 1995

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Hardcover
464 Pages

Dimensions(cm)
25.4 x 17.15 x 3.18

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This monograph is devoted to quantum statistical mechanics. It can be regarded as a continuation of the book "Mathematical Foundations of Classical Statistical Mechanics. Continuous Systems" (Gordon & Breach SP, 1989) written together with my colleagues V. I. Gerasimenko and P. V. Malyshev. Taken together, these books give a complete pre sentation of the statistical mechanics of continuous systems, both quantum and classical, from the common point of view. Both books have similar contents. They deal with the investigation of states of in finite systems, which are described by infinite sequences of statistical operators (reduced density matrices) or Green's functions in the quantum case and by infinite sequences of distribution functions in the classical case. The equations of state and their solutions are the main object of investigation in these books. For infinite systems, the solutions of the equations of state are constructed by using the thermodynamic limit procedure, accord ing to which we first find a solution for a system of finitely many particles and then let the number of particles and the volume of a region tend to infinity keeping the density of particles constant. However, the style of presentation in these books is quite different.

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You Can Find This Book In

Non-Fiction Science Science in General Maths for Scientists Physics Mathematical Physics Reference, Information & Interdisciplinary Subjects Research & Information Information theory Cybernetics & Systems Theory

Introduction
Evolution of States of Quantum Systems of Finitely Many Particles	p. 1
Evolution of States of Infinite Quantum Systems	p. 57
Thermodynamic Limit	p. 123
Mathematical Problems in the Theory of Superconductivity	p. 181
Green's Functions	p. 253
Exactly Solvable Models	p. 307
Quasiaverages. Theorem on Singularities of Green's Functions of 1/q[superscript 2]-Type	p. 401
Subject Index	p. 441
Table of Contents provided by Blackwell. All Rights Reserved.

Mathematical Foundations of Quantum Statistical Mechanics : Continuous Systems

Continuous Systems

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

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