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Models of Quadratic Algebras Generated by Superintegrable Systems in 2D
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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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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Models of Quadratic Algebras Generated by Superintegrable Systems in 2D
Інший ID:
2010 Mathematics Subject Classification: 22E70; 81R05; 17B80
DOI:10.3842/SIGMA.2011.036
DOI:10.3842/SIGMA.2011.036
Посилання:
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.
Підтримка:
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.
Дата:
2011
Переглядів:
511
Завантажень:
269
Анотація:
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.
