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Introduction to Classical Integrable Systems

Introduction to Classical Integrable Systems

$193.00 (C)

Part of Cambridge Monographs on Mathematical Physics

  • Date Published: June 2003
  • availability: Available
  • format: Hardback
  • isbn: 9780521822671

$ 193.00 (C)

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About the Authors
  • Introducing the reader to classical integrable systems and their applications, this book synthesizes the different approaches to the subject, providing a set of interconnected methods for solving problems in mathematical physics. The authors introduce and explain each method, and demonstrate how it can be applied to particular examples. Rather than presenting an exhaustive list of the various integrable systems, they focus on classical objects which have well-known quantum counterparts, or are the semi-classical limits of quantum objects. They thus enable readers to understand the literature on quantum integrable systems.

    • Discusses all approaches to the subject and emphasises their unity
    • Written in a clear and pedagogical style
    • Includes developments of importance for the study of quantum systems
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    Reviews & endorsements

    "This very valuable addition to the literature on integrable systems should not be missed by any graduate student or specialist in this field." Mathematical Reviews

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    Product details

    • Date Published: June 2003
    • format: Hardback
    • isbn: 9780521822671
    • length: 616 pages
    • dimensions: 254 x 178 x 33 mm
    • weight: 1.28kg
    • contains: 11 b/w illus. 3 tables
    • availability: Available
  • Table of Contents

    1. Introduction
    2. Integrable dynamical systems
    3. Synopsis of integrable systems
    4. Algebraic methods
    5. Analytical methods
    6. The closed Toda chain
    7. The Calogero-Moser model
    8. Isomonodromic deformations
    9. Grassmannian and integrable hierarchies
    10. The KP hierarchy
    11. The KdV hierarchy
    12. The Toda field theories
    13. Classical inverse scattering method
    14. Symplectic geometry
    15. Riemann surfaces
    16. Lie algebras

  • Authors

    Olivier Babelon, Université de Paris VI (Pierre et Marie Curie) et VII
    Olivier Babelon has been a member of the Centre National de la Recherche Scientifique (CNRS) since 1978. He works at the Laboratoire de Physique Théorique et Hautes Energies (LPTHE) at the University of Paris VI-Paris VII. His main fields of interest are particle physics, gauge theories and integrables systems.

    Denis Bernard, SPHT, CE Saclay
    Denis Bernard has been a member of the CNRS since 1988. He currently works at the Service de Physique Théorique de Saclay. His main fields of interest are conformal field theories and integrable systems, and other aspects of statistical field theories, including statistical turbulence.

    Michel Talon, Université de Paris VI (Pierre et Marie Curie) et VII
    Michel Talon has been a member of the CNRS since 1977. He works at the LPTHE at the University of Paris VI-Paris VII. He is involved in the computation of radiative corrections and anomalies in gauge theories and integrable systems.

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