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Quantum Inverse Scattering Method and Correlation Functions : Cambridge Monographs on Mathematical Physics - V. E. Korepin

Quantum Inverse Scattering Method and Correlation Functions

Cambridge Monographs on Mathematical Physics

Paperback

Published: 5th May 1997
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The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics (such as the sine-Gordon equation or the quantum nonlinear Schrodinger equation). This introduction to this important and exciting area first deals with the Bethe ansatz and calculation of physical quantities. The authors then tackle the theory of the quantum inverse scattering method before applying it in the second half of the book to the calculation of correlation functions. This is one of the most important applications of the method and the authors have made significant contributions to the area. Here they describe some of the most recent and general approaches and include some new results. The book will be essential reading for all mathematical physicists working in field theory and statistical physics.

"An important carefully-crafted text, in 4 parts: examination of the Bethe ansatz and calculation of physical quantities; theory of the quantum inverse scattering; third and fourth sections apply preceding work to calculation of correlation functions." American Mathematical Monthly

One-dimensional Bose-gas
One-dimensional Heisenberg magnet
Massive Thirring model
Classical r-matrix
Fundamentals of inverse scattering method
Algebraic Bethe ansatz
Quantum field theory integral models on a lattice
Theory of scalar products
Form factors
Mean value of operator Q
Assymptotics of correlation functions
Temperature correlation functions
Appendices
References
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521586467
ISBN-10: 0521586461
Series: Cambridge Monographs on Mathematical Physics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 576
Published: 5th May 1997
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 24.7 x 17.4  x 3.0
Weight (kg): 1.02