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Quantum Inverse Scattering Method and Correlation Functions

Quantum Inverse Scattering Method and Correlation Functions

Quantum Inverse Scattering Method and Correlation Functions

V. E. Korepin , State University of New York, Stony Brook
N. M. Bogoliubov , Steklov Institute of Mathematics, St Petersburg
A. G. Izergin , Steklov Institute of Mathematics, St Petersburg
March 1997
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Paperback
9780521586467
$116.00
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eBook

    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 Schrödinger 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 introduction
    • In well-respected Cambridge Monographs on Mathematical Physics Series
    • Internationally respected authors

    Reviews & endorsements

    "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

    See more reviews

    Product details

    May 2012
    Adobe eBook Reader
    9781139242677
    0 pages
    0kg
    3 b/w illus.
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    Table of Contents

    • 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.
      Authors
    • V. E. Korepin , State University of New York, Stony Brook
    • N. M. Bogoliubov , Steklov Institute of Mathematics, St Petersburg
    • A. G. Izergin , Steklov Institute of Mathematics, St Petersburg