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Quantum Inverse Scattering Method and Correlation Functions

Quantum Inverse Scattering Method and Correlation Functions

$129.00 (C)

Part of Cambridge Monographs on Mathematical Physics

  • Date Published: March 1997
  • availability: Available
  • format: Paperback
  • isbn: 9780521586467

$ 129.00 (C)
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About the Authors
  • 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
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    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

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    Product details

    • Date Published: March 1997
    • format: Paperback
    • isbn: 9780521586467
    • length: 576 pages
    • dimensions: 246 x 189 x 30 mm
    • weight: 1.02kg
    • contains: 3 b/w illus.
    • availability: Available
  • 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

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