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Gómez-Ullate Otaiza, David and González López, Artemio and Rodríguez González, Miguel Ángel (2000) New algebraic quantum many-body problems. Journal of physics A: Mathematical and general, 33 (41). pp. 7305-7335. ISSN 0305-4470
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Official URL: http://dx.doi.org/10.1088/0305-4470/33/41/305
Abstract
We develop a systematic procedure for constructing quantum many-body problems whose spectrum can be partially or totally computed by purely algebraic means. The exactly solvable models include rational and hyperbolic potentials related to root systems, in some cases with an additional external field. The quasi-exactly solvable models can be considered as deformations of the previous ones which share their algebraic character.
Item Type: | Article |
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Additional Information: | ©IOP Publishing. |
Uncontrolled Keywords: | Calogero-sutherland model; Lie-algebras; Hypergeometric-functions; Root systems; Dynamical-systems; One dimension; Operators; Potentials |
Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |
ID Code: | 31107 |
Deposited On: | 29 Jun 2015 14:17 |
Last Modified: | 10 Dec 2018 15:10 |
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