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Calogero—Moser— Sutherland Models pp 37–51Cite as

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

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Abstract

We examine eigenfunctions of the periodic and rational Calogero-Sutherland-Moser system with exchange terms. In particular explicit formulae for the normalization of Jack polynomials with prescribed symmetry (i.e., eigenfunctions that can be chosen to be symmetric or antisymmetric in certain variables) are given. In addition Macdonald polynomials of prescribed symmetry are considered, and it is shown that factorization can be achieved in certain cases.

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Authors
  1. T. H. Baker
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  2. C. F. Dunkl
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  3. P. J. Forrester
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Editor information

Editors and Affiliations

  1. Departamento de Matematicas, Universidad de Chile, Las Palmeras, 3425, Nunoa Santiago, Chile

    Jan Felipe van Diejen

  2. McGill University, James Administration Building, Room 504, Montreal, Quebec, H3A 2T5, Canada

    Luc Vinet

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Baker, T.H., Dunkl, C.F., Forrester, P.J. (2000). Polynomial Eigenfunctions of the Calogero—Sutherland—Moser Models with Exchange Terms. In: van Diejen, J.F., Vinet, L. (eds) Calogero—Moser— Sutherland Models. CRM Series in Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1206-5_3

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  • DOI: https://doi.org/10.1007/978-1-4612-1206-5_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7043-0

  • Online ISBN: 978-1-4612-1206-5

  • eBook Packages: Springer Book Archive

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