dorsal/arxiv
View SchemaA Number of Quasi-Exactly Solvable N-body Problems
| Authors | Avinash Khare, Bhabani Prasad Mandal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9803003 |
| URL | https://arxiv.org/abs/quant-ph/9803003 |
| DOI | 10.1063/1.532593 |
| Journal | J.Math.Phys. 39 (1998) 5789-5794 |
Abstract
We present several examples of quasi-exactly solvable $N$-body problems in one, two and higher dimensions. We study various aspects of these problems in some detail. In particular, we show that in some of these examples the corresponding polynomials form an orthogonal set and many of their properties are similar to those of the Bender-Dunne polynomials. We also discuss QES problems where the polynomials do not form an orthogonal set.
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"abstract": "We present several examples of quasi-exactly solvable $N$-body problems in\none, two and higher dimensions. We study various aspects of these problems in\nsome detail. In particular, we show that in some of these examples the\ncorresponding polynomials form an orthogonal set and many of their properties\nare similar to those of the Bender-Dunne polynomials. We also discuss QES\nproblems where the polynomials do not form an orthogonal set.",
"arxiv_id": "quant-ph/9803003",
"authors": [
"Avinash Khare",
"Bhabani Prasad Mandal"
],
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"math.MP"
],
"doi": "10.1063/1.532593",
"journal_ref": "J.Math.Phys. 39 (1998) 5789-5794",
"title": "A Number of Quasi-Exactly Solvable N-body Problems",
"url": "https://arxiv.org/abs/quant-ph/9803003"
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