Some Properties of the Calogero-Sutherland Model with Reflections
High Energy Physics - Theory
2008-11-26 v1
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.
Keywords
Cite
@article{arxiv.hep-th/9701189,
title = {Some Properties of the Calogero-Sutherland Model with Reflections},
author = {D. Serban},
journal= {arXiv preprint arXiv:hep-th/9701189},
year = {2008}
}
Comments
16 pages, harvmac.tex