Some Properties of the Calogero-Sutherland Model with Reflections

Details Some Properties of the Calogero-Sutherland Model with Reflections Some Properties of the Calogero-Sutherland Model with Reflections

1997-01-30

arxiv.org/abs/hep-th/9701189v1

J.Phys.A30:4215-4226,1997

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, harvmac.tex

Scientific paper

10.1088/0305-4470/30/12/012

We prove that the Calogero-Sutherland Model with reflections (the BC_N model) possesses a property of duality relating the eigenfunctions of two Hamiltonians with different coupling constants. We obtain a generating function for their polynomial eigenfunctions, the generalized Jacobi polynomials. The symmetry of the wave-functions for certain particular cases (associated to the root systems of the classical Lie groups B_N, C_N and D_N) is also discussed.

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