Thermodynamics of One-Dimensional Solvable Models

By: Minoru Takahashi

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Paperback | 15 September 2005

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268 Pages

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Exactly solvable models are very important in physics. They are important not just from a theoretical point of view but also from the experimentalist's perspective because in such cases theoretical results and experimental results can be compared without ambiguity. This is a book about an important class of exactly solvable models in physics. The subject area is the Bethe-ansatz approach for a number of one-dimensional models, and the setting up of equations within this approach to determine the thermodynamics of these systems. It is a topic that crosses the boundaries between condensed matter physics, mathematics and field theory. The derivation and application of thermodynamic Bethe-ansatz equations for one-dimensional models are explained in detail. This technique is indispensable for physicists studying the low-temperature properties of one-dimensional substances. This book, written by one of the top physicists in this field, and the originator of much of the work in the subject, will be of great interest to theoretical condensed matter physicists.

Industry Reviews

'Ever since Lars Onsager produced his celebrated solution of the two-dimensional Ising model, physicists have been persuaded of the pivotal role played by exactly solved models in statistical mechanics. Takahashi is a recognized expert in this field and his book summarizes what is known.' R. Evans, Contemporary Physics 'The book may be useful for mathematicians interested in spectral analysis and quite important for experts in quantum statistical mechanics.' Zentralblatt MATH

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You Can Find This Book In

Non-Fiction Science Physics Thermodynamics & Heat

Other Editions and Formats

Hardcover

Published: 14th June 1999

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This product is categorised by

Non-Fiction Science Physics Thermodynamics & Heat

Thermodynamics of Non-Interacting Systems and Ground States on Interacting Systems
Free energy and correlation functions of XY models
Systems with dea-function potential
Isotropic Heisenberg model
XXZ model
XYZ and eight-vertex models
Hubbard model
Finite Temperature Integral Equations for Un-Nested Systems
Repulsive dea-function bosons
Thermodynamics of the XXX chain
Thermodynamics of the XXZ model
Thermodynamics of the XYZ model
Low-temperature thermodynamics
Finite Temperature Integral Equations for Nested Systems
S=1/2 fermions with repulsive potential in the continuum
S=1/2 fermions with an attractive potential
Thermodynamics of the Hubbard model
Quantum Transfer Matrix and Recent Developments
Transfer matrix and correlation length
The spin 1/2 XXZ model in a magnetic field
The XYZ model with no magnetic field
Recent developments and related topics
Table of Contents provided by Publisher. All Rights Reserved.

Thermodynamics of One-Dimensional Solvable Models

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Hardcover

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