The Statistical Mechanics of Lattice Gases, Volume I / / Barry Simon.

A state-of-the-art survey of both classical and quantum lattice gas models, this two-volume work will cover the rigorous mathematical studies of such models as the Ising and Heisenberg, an area in which scientists have made enormous strides during the past twenty-five years. This first volume addres...

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Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2014]
©1993
Year of Publication:2014
Edition:Course Book
Language:English
Series:Princeton Legacy Library ; 260
Online Access:
Physical Description:1 online resource (536 p.)
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Other title:Frontmatter --
Contents --
Introduction --
Chapter I. Preliminaries --
Chapter II. The Pressure --
Chapter III. States: The Classical Case --
Chapter IV. States: The Quantum Case --
Chapter V. High Temperature and Low Densities --
References --
Index
Summary:A state-of-the-art survey of both classical and quantum lattice gas models, this two-volume work will cover the rigorous mathematical studies of such models as the Ising and Heisenberg, an area in which scientists have made enormous strides during the past twenty-five years. This first volume addresses, among many topics, the mathematical background on convexity and Choquet theory, and presents an exhaustive study of the pressure including the Onsager solution of the two-dimensional Ising model, a study of the general theory of states in classical and quantum spin systems, and a study of high and low temperature expansions. The second volume will deal with the Peierls construction, infrared bounds, Lee-Yang theorems, and correlation inequality.This comprehensive work will be a useful reference not only to scientists working in mathematical statistical mechanics but also to those in related disciplines such as probability theory, chemical physics, and quantum field theory. It can also serve as a textbook for advanced graduate students.Originally published in 1993.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Format:Mode of access: Internet via World Wide Web.
ISBN:9781400863433
9783110413441
9783110413595
9783110442496
DOI:10.1515/9781400863433
Access:restricted access
Hierarchical level:Monograph
Statement of Responsibility: Barry Simon.