Models of Quadratic Algebras Generated by Superintegrable Systems in 2D
Vernadsky National Library of Ukraine
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Title |
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D
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Creator |
Post, S.
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Description |
In this paper, we consider operator realizations of quadratic algebras generated by second-order superintegrable systems in 2D. At least one such realization is given for each set of Stäckel equivalent systems for both degenerate and nondegenerate systems. In almost all cases, the models can be used to determine the quantization of energy and eigenvalues for integrals associated with separation of variables in the original system.
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Date |
2019-02-11T17:16:15Z
2019-02-11T17:16:15Z 2011 |
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Type |
Article
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Identifier |
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D / S. Post // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 27 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 22E70; 81R05; 17B80 DOI:10.3842/SIGMA.2011.036 http://dspace.nbuv.gov.ua/handle/123456789/146853 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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