dorsal/arxiv
View SchemaOn the diagonalization of difference Calogero-Sutherland systems
| Authors | Jan F. van Diejen |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9504012 |
| URL | https://arxiv.org/abs/q-alg/9504012 |
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 $BC_n$.
{
"annotation_id": "dbd355ef-8c2e-498e-8934-5df1e1721d6d",
"date_created": "2026-03-02T18:01:24.455000Z",
"date_modified": "2026-03-02T18:01:24.455000Z",
"file_hash": "d5ab4e245bb94e9528d218ccd6ab13bbbc910dc3c929017ba46c40a691cd3ef6",
"private": false,
"record": {
"abstract": "We discuss the simultaneous diagonalization of a family of commuting\ndifference operators by Koornwinder\u0027s multivariable generalization of the\nAskey-Wilson polynomials. The operators constitute a complete set of quantum\nintegrals for a difference version of the $n$-particle quantum\nCalogero-Sutherland system related to the root system $BC_n$.",
"arxiv_id": "q-alg/9504012",
"authors": [
"Jan F. van Diejen"
],
"categories": [
"q-alg",
"math.CA",
"math.QA",
"nlin.SI",
"solv-int"
],
"title": "On the diagonalization of difference Calogero-Sutherland systems",
"url": "https://arxiv.org/abs/q-alg/9504012"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "32eacc6b-18d6-4768-8178-b8a5ad14376f",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}