On the diagonalization of difference Calogero-Sutherland systems

Details On the diagonalization of difference Calogero-Sutherland systems On the diagonalization of difference Calogero-Sutherland systems

1995-04-21

arxiv.org/abs/q-alg/9504012v1

Mathematics

Classical Analysis and ODEs

10 pages, compressed uuencoded postscript file (instructions at the beginning of the file), to appear in the Proceedings of th

Scientific paper

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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