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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 036, 20 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.036 (Mi sigma594) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Models of Quadratic Algebras Generated by Superintegrable Systems in 2D

Sarah Post

Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128 succ. Centre-Ville, Montréal (QC) H3C 3J7, Canada
Full-text PDF (394 kB) Citations (21)
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DOI: https://doi.org/10.3842/SIGMA.2011.036
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.
Keywords: quadratic algebras; superintegrability; special functions; representation theory.
Received: February 1, 2011; in final form March 24, 2011; Published online April 5, 2011
Bibliographic databases:
Document Type: Article
MSC: 22E70; 81R05; 17B80
Language: English
Citation: Sarah Post, “Models of Quadratic Algebras Generated by Superintegrable Systems in 2D”, SIGMA, 7 (2011), 036, 20 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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