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New algebraic quantum many-body problems

Authors :
Gómez-Ullate Otaiza, David
González López, Artemio
Rodríguez González, Miguel Ángel
Gómez-Ullate Otaiza, David
González López, Artemio
Rodríguez González, Miguel Ángel
Publication Year :
2023

Abstract

©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.<br />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.<br />DGES<br />Depto. de Física Teórica<br />Fac. de Ciencias Físicas<br />TRUE<br />pub

Details

Database :
OAIster
Notes :
application/pdf, 0305-4470, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1413947496
Document Type :
Electronic Resource