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Models of Quadratic Algebras Generated by Superintegrable Systems in 2D
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
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| dc.contributor.author | Post, S. | |
| dc.date.accessioned | 2019-02-11T17:16:15Z | |
| dc.date.available | 2019-02-11T17:16:15Z | |
| dc.date.issued | 2011 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 22E70; 81R05; 17B80 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2011.036 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146853 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | This 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.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Models of Quadratic Algebras Generated by Superintegrable Systems in 2D | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
