- 93-170 van Diejen, J. F.
- Commuting difference operators with polynomial eigenfunctions.
(149K, LaTex (printing format: landscape))
Jun 8, 93
(auto. generated ps),
of related papers
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.