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arXiv · hep-th/9701189

Some Properties of the Calogero-Sutherland Model with Reflections

D. Serban
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Abstract

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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D. Serban. 1997-01-30. Some Properties of the Calogero-Sutherland Model with Reflections. https://doi.org/10.1088/0305-4470%2F30%2F12%2F012

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