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26 April 2024
 
  » arxiv » nlin.SI/0003005

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New Algebraic Quantum Many-body Problems
D. Gomez-Ullate ; A. Gonzalez-Lopez ; M. A. Rodriguez ;
Date 1 Mar 2000
Journal J.Phys. A33 (2000) 7305-7336
Subject Exactly Solvable and Integrable Systems | nlin.SI hep-th
AffiliationDepto. de Fisica Teorica II, Universidad Complutense, Madrid, SPAIN
AbstractWe 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.
Source arXiv, nlin.SI/0003005
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