dorsal/arxiv
View SchemaMultiple algebraisations of an elliptic Calogero-Sutherland model
| Authors | Yves Brihaye, Betti Hartmann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205046 |
| URL | https://arxiv.org/abs/quant-ph/0205046 |
| DOI | 10.1063/1.1557788 |
| Journal | J.Math.Phys.44:1576,2003 |
Abstract
Recently, Gomez-Ullate et al. (1) have studied a particular N-particle quantum problem with an elliptic function potential supplemented by an external field. They have shown that the Hamiltonian operator preserves a finite dimensional space of functions and as such is quasi exactly solvable (QES). In this paper we show that other types of invariant function spaces exist, which are in close relation to the algebraic properties of the elliptic functions. Accordingly, series of new algebraic eigenfunctions can be constructed.
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"abstract": "Recently, Gomez-Ullate et al. (1) have studied a particular N-particle\nquantum problem with an elliptic function potential supplemented by an external\nfield. They have shown that the Hamiltonian operator preserves a finite\ndimensional space of functions and as such is quasi exactly solvable (QES). In\nthis paper we show that other types of invariant function spaces exist, which\nare in close relation to the algebraic properties of the elliptic functions.\nAccordingly, series of new algebraic eigenfunctions can be constructed.",
"arxiv_id": "quant-ph/0205046",
"authors": [
"Yves Brihaye",
"Betti Hartmann"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1063/1.1557788",
"journal_ref": "J.Math.Phys.44:1576,2003",
"title": "Multiple algebraisations of an elliptic Calogero-Sutherland model",
"url": "https://arxiv.org/abs/quant-ph/0205046"
},
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