- 93-170 van Diejen, J. F.
- Commuting difference operators with polynomial eigenfunctions.
(149K, LaTex (printing format: landscape))
Jun 8, 93
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Abstract. We present explicit generators of an algebra of commuting difference
operators with trigonometric coefficients. The operators are
simultaneously diagonalized by recently discovered q-polynomials
(viz. Koornwinder's multivariable generalization of the Askey-Wilson
polynomials). From the viewpoint of physics the algebra can be interpreted
as consisting of the quantum integrals of a novel difference-type integrable
sytem. This system generalizes the Calogero-Moser systems associated
with non-exceptional root systems.
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