Mathematical Foundations of Quantum Statistical Mechanics : Continuous System...

Mathematical Foundations of Quantum Statistical Mechanics : Continuous Systems, Paperback by Petrina, D. Y., ISBN 9401040834, ISBN-13 9789401040839, Brand New, Free shipping in the USThis monograph is devoted to quantum statistical mechanics. It can be regarded as a continuation of th "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, thess 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 thess. 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 thess is quite different.