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On the diagonalization of difference Calogero-Sutherland systems

Jan F. van Diejen
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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 $BC_n$.

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BibTeXRIS

Jan F. van Diejen. 1995-04-21. On the diagonalization of difference Calogero-Sutherland systems. https://arxiv.org/abs/q-alg/9504012

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