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.
By:
Barry Simon
Imprint: Princeton University Press
Country of Publication: United States
Volume: 4424
Dimensions:
Height: 229mm,
Width: 152mm,
Spine: 30mm
Weight: 907g
ISBN: 9780691636436
ISBN 10: 0691636435
Series: Princeton Legacy Library
Pages: 536
Publication Date: 19 April 2016
Audience:
College/higher education
,
Professional and scholarly
,
Primary
,
Undergraduate
Format: Hardback
Publisher's Status: Active
*FrontMatter, pg. i*Contents, pg. vii*Introduction, pg. xi*Chapter I. Preliminaries, pg. 3*Chapter II. The Pressure, pg. 97*Chapter III. States: The Classical Case, pg. 235*Chapter IV. States: The Quantum Case, pg. 337*Chapter V. High Temperature and Low Densities, pg. 400*References, pg. 501*Index, pg. 521
Reviews for The Statistical Mechanics of Lattice Gases, Volume I
This book, as many of Simon's works, is destined to become a classic reference text.... The book is almost completely self-contained, as the author gives definitions and proofs of the needed mathematical background, ranging from rather basic theorems of analysis, to the most advanced ones. --Australian & New Zealand Physicist
