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 paperback editions preserve the original texts of these
important books while presenting them in durable paperback
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.
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