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Thermodynamics of One-Dimensional Solvable Models
 
 
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Thermodynamics of One-Dimensional Solvable Models [Hardcover]

Minoru Takahashi (Author)

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Book Description

March 28, 1999 0521551439 978-0521551434
Exactly solvable models are very important in physics from a theoretical point of view and 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 among 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. Written by the originator of much of the work in the subject, this book will be of great interest to theoretical condensed matter physicists.

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Editorial Reviews

Review

'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

Book Description

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, written by one of the top physicists in this field, and the originator of much of the work in the subject. It will be of great interest to theoretical condensed matter physicists.

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Inside This Book (learn more)
First Sentence:
As the simplest case of a solvable model we consider the following spin 1/2 Hamiltonian, Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
spinon gap, normalizability condition, spinon excitation, elliptic theta functions, exact free energy, free energy per site, diagonalization method, transfer matrix, magnetization curve, special limits, elementary excitations, solvable models
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo
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