Models of Quadratic Algebras Generated by Superintegrable Systems in 2D
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...
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| Дата: | 2011 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2011
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146853 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1468532019-02-12T01:24:33Z Models of Quadratic Algebras Generated by Superintegrable Systems in 2D Post, S. 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. 2011 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Post, S. |
| spellingShingle |
Post, S. Models of Quadratic Algebras Generated by Superintegrable Systems in 2D Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Post, S. |
| author_sort |
Post, S. |
| title |
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D |
| title_short |
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D |
| title_full |
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D |
| title_fullStr |
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D |
| title_full_unstemmed |
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D |
| title_sort |
models of quadratic algebras generated by superintegrable systems in 2d |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146853 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
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2023-05-20T17:25:52Z |
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2023-05-20T17:25:52Z |
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