Jack Polynomials and the Multi-Component Calogero-Sutherland Model

@article{Forrester1996JackPA,
  title={Jack Polynomials and the Multi-Component Calogero-Sutherland Model},
  author={Peter J. Forrester},
  journal={International Journal of Modern Physics B},
  year={1996},
  volume={10},
  pages={427-441}
}
  • P. Forrester
  • Published 4 September 1995
  • Mathematics, Physics
  • International Journal of Modern Physics B
Using the ground state ψ0 of a multi-component generalization of the Calogero-Sutherland model as a weight function, orthogonal polynomials in the coordinates of one of the species are constructed. Using evidence from exact analytic and numerical calculations, it is conjectured that these polynomials are the Jack polynomials where λ is the coupling constant. The value of the normalization integral for is conjectured, and some further related integrals are evaluated. 
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