Superintegrable systems in quantum mechanics and classical Lie theory

The relation is established between some concepts of quantum mechanics and those of soliton theory. In particular, superintegrable systems in two-dimensional quantum mechanics are shown to be invariant under generalized Lie symmetries and to allow recursion operators.

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Bibliographic Details
Published in:Journal of mathematical physics 2001-02, Vol.42 (2), p.659-673
Main Authors: Sheftel, M. B., Tempesta, P., Winternitz, P.
Format: Article
Language:English
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Summary:The relation is established between some concepts of quantum mechanics and those of soliton theory. In particular, superintegrable systems in two-dimensional quantum mechanics are shown to be invariant under generalized Lie symmetries and to allow recursion operators.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1337798