On the diagonalization of difference Calogero-Sutherland systems
Jan F. van Diejen
Abstract
We discuss the simultaneous diagonalization of a family of commuting difference operators by Koornwinder's multivariable generalization of the Askey-Wilson polynomials. The operators constitute a complete set of quantum integrals for a difference version of the n-particle quantum Calogero-Sutherland system related to the root system BCn.
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