dorsal/arxiv
View SchemaExact operator solution of the Calogero-Sutherland model
| Authors | Luc Lapointe, Luc Vinet |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9509003 |
| URL | https://arxiv.org/abs/q-alg/9509003 |
| DOI | 10.1007/BF02099456 |
| Journal | Commun. Math. Phys. 178 (1996) 425 |
Abstract
The wave functions of the Calogero-Sutherland model are known to be expressible in terms of Jack polynomials. A formula which allows to obtain the wave functions of the excited states by acting with a string of creation operators on the wave function of the ground state is presented and derived. The creation operators that enter in this formula of Rodrigues-type for the Jack polynomials involve Dunkl operators.
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"abstract": "The wave functions of the Calogero-Sutherland model are known to be\nexpressible in terms of Jack polynomials. A formula which allows to obtain the\nwave functions of the excited states by acting with a string of creation\noperators on the wave function of the ground state is presented and derived.\nThe creation operators that enter in this formula of Rodrigues-type for the\nJack polynomials involve Dunkl operators.",
"arxiv_id": "q-alg/9509003",
"authors": [
"Luc Lapointe",
"Luc Vinet"
],
"categories": [
"q-alg",
"math.CA",
"math.QA"
],
"doi": "10.1007/BF02099456",
"journal_ref": "Commun. Math. Phys. 178 (1996) 425",
"title": "Exact operator solution of the Calogero-Sutherland model",
"url": "https://arxiv.org/abs/q-alg/9509003"
},
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