On the diagonalization of difference Calogero-Sutherland systems
q-alg
2008-02-03 v1 经典分析与常微分方程
量子代数
可精确求解与可积系统
solv-int
摘要
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 -particle quantum Calogero-Sutherland system related to the root system .
引用
@article{arxiv.q-alg/9504012,
title = {On the diagonalization of difference Calogero-Sutherland systems},
author = {Jan F. van Diejen},
journal= {arXiv preprint arXiv:q-alg/9504012},
year = {2008}
}
备注
10 pages, compressed uuencoded postscript file (instructions at the beginning of the file), to appear in the Proceedings of the Workshop on Symmetries and Integrability of Difference Equations, Esterel (Quebec, Canada), May 22-29, 1994 (eds. D. Levi, L. Vinet, and P. Winternitz)