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New algebraic quantum many-body problems



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Gómez-Ullate Otaiza, David y González López, Artemio y 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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URL Oficial: http://dx.doi.org/10.1088/0305-4470/33/41/305


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.

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©IOP Publishing.
It is our pleasure to thank F. Calogero, A. Perelomov, and O. Ragnisco for useful discussions. D. G.-U. is also glad to acknowledge F. Calogero’s warm hospitality at Universitá di Roma (La Sapienza) while this work was in progress. This work is supported in part by DGES Grant PB98-0821.

Palabras clave:Calogero-sutherland model; Lie-algebras; Hypergeometric-functions; Root systems; Dynamical-systems; One dimension; Operators; Potentials
Materias:Ciencias > Física > Física-Modelos matemáticos
Ciencias > Física > Física matemática
Código ID:31107
Depositado:29 Jun 2015 14:17
Última Modificación:10 Dic 2018 15:10

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