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New Algebraic Quantum Many-body Problems

D. Gomez-Ullate·A. Gonzalez-Lopez·M. A. Rodriguez
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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.

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D. Gomez-Ullate, A. Gonzalez-Lopez, M. A. Rodriguez. 2000-03-01. New Algebraic Quantum Many-body Problems. https://doi.org/10.1088/0305-4470%2F33%2F41%2F305

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