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CRM Series in Mathematical Physics

Calogero—Moser— Sutherland Models

Editors: Diejen, Jan F. van, Vinet, Luc (Eds.)

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About this book

In the 1970s F. Calogero and D. Sutherland discovered that for certain potentials in one-dimensional systems, but for any number of particles, the Schrödinger eigenvalue problem is exactly solvable. Until then, there was only one known nontrivial example of an exactly solvable quantum multi-particle problem. J. Moser subsequently showed that the classical counterparts to these models is also amenable to an exact analytical approach. The last decade has witnessed a true explosion of activities involving Calogero-Moser-Sutherland models, and these now play a role in research areas ranging from theoretical physics (such as soliton theory, quantum field theory, string theory, solvable models of statistical mechanics, condensed matter physics, and quantum chaos) to pure mathematics (such as representation theory, harmonic analysis, theory of special functions, combinatorics of symmetric functions, dynamical systems, random matrix theory, and complex geometry). The aim of this volume is to provide an overview of the many branches into which research on CMS systems has diversified in recent years. The contributions are by leading researchers from various disciplines in whose work CMS systems appear, either as the topic of investigation itself or as a tool for further applications.

Table of contents (36 chapters)

  • Classical Dynamical r-Matrices for Calogero—Moser Systems and Their Generalizations

    Avan, J.

    Pages 1-21

  • Hidden Algebraic Structure of the Calogero—Sutherland Model, Integral Formula for Jack Polynomial and Their Relativistic Analog

    Awata, Hidetoshi

    Pages 23-35

  • Polynomial Eigenfunctions of the Calogero—Sutherland—Moser Models with Exchange Terms

    Baker, T. H. (et al.)

    Pages 37-51

  • The Theory of Lacunas and Quantum Integrable Systems

    Berest, Yuri Yu.

    Pages 53-64

  • Canonical Forms for the C-Invariant Tensors

    Bogoyavlenskij, Oleg I.

    Pages 65-76

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-1-4612-1206-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.00
price for USA
valid through October 16, 2017
  • ISBN 978-1-4612-7043-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Calogero—Moser— Sutherland Models
Editors
  • Jan F. van Diejen
  • Luc Vinet
Series Title
CRM Series in Mathematical Physics
Copyright
2000
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1206-5
DOI
10.1007/978-1-4612-1206-5
Softcover ISBN
978-1-4612-7043-0
Edition Number
1
Number of Pages
XXV, 561
Topics