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.
