Models of Quadratic Algebras Generated by Superintegrable Systems in 2D

dc.contributor.authorPost, S.
dc.date.accessioned2019-02-11T17:16:15Z
dc.date.available2019-02-11T17:16:15Z
dc.date.issued2011
dc.description.abstractIn 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue “Symmetry, Separation, Super-integrability and Special Functions (S⁴)”. The full collection is available at http://www.emis.de/journals/SIGMA/S4.html. S.P. acknowledges a postdoctoral fellowship awarded by the Laboratory of Mathematical Physics of the Centre de Recherches Math´ematiques, Universit´e de Montr´eal.uk_UA
dc.identifier.citationModels 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.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 22E70; 81R05; 17B80
dc.identifier.otherDOI:10.3842/SIGMA.2011.036
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146853
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleModels of Quadratic Algebras Generated by Superintegrable Systems in 2Duk_UA
dc.typeArticleuk_UA

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