A Note on Calogero-Sutherland model, W(n) singular vectors and generalized matrix models

Dec, 1994
9 pages
Published in:
  • Soryushiron Kenkyu 91 (1995) A69-A75
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Abstract:
We review some recent results on the Calogero-Sutherland model with emphasis upon its algebraic aspects. We give integral formulae for excited states (Jack polynomials) of this model and their relations with W_n singular vectors and generalized matrix models.
Note:
  • Based on a talk given at a workshop at YITP, 6-9 Dec 1994
  • 9 pages, Based on the talk in the work shop at YITP on Dec. 6-9, 1994, plain Tex file
  • talk: Kyoto 1994/12/06
  • quantum mechanics
  • potential
  • dimension: 2
  • statistics: fractional
  • algebra: W(N)
  • algebra: representation
  • correlation function
  • matrix model