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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
 
Creator Post, S.
 
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.
 
Date 2019-02-11T17:16:15Z
2019-02-11T17:16:15Z
2011
 
Type Article
 
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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України