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  3. Quantum Inverse Scattering Method and Correlation Functions
  • Cited by 1282
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2010
      August 1993
      ISBN:
      9780511628832
      9780521586467
      DOI:
      https://doi.org/10.1017/CBO9780511628832
      Dimensions:
      Weight & Pages:
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      1.02kg, 576 Pages
      • Subjects:
      Physics and Astronomy, Theoretical Physics and Mathematical Physics, Statistical Physics
      Series:
      Cambridge Monographs on Mathematical Physics
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    Subjects:
    Physics and Astronomy, Theoretical Physics and Mathematical Physics, Statistical Physics
    Series:
    Cambridge Monographs on Mathematical Physics
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    Book description

    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 non-linear Schrödinger equation). These models are the subject of much attention amongst physicists and mathematicians. The present work is an introduction to this important and exciting area. It consists of four parts. The 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.

    Reviews

    "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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