Quantum Super-Integrable Systems as Exactly Solvable Models
We consider some examples of quantum super-integrable systems and the associated nonlinear extensions of Lie algebras. The intimate relationship between super-integrability and exact solvability is illustrated. Eigenfunctions are constructed through the action of the commuting operators. Finite dime...
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| Дата: | 2007 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147791 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Quantum Super-Integrable Systems as Exactly Solvable Models / A.P. Fordy // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 15 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147791 |
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irk-123456789-1477912019-02-17T01:27:15Z Quantum Super-Integrable Systems as Exactly Solvable Models Fordy, A.P. We consider some examples of quantum super-integrable systems and the associated nonlinear extensions of Lie algebras. The intimate relationship between super-integrability and exact solvability is illustrated. Eigenfunctions are constructed through the action of the commuting operators. Finite dimensional representations of the quadratic algebras are thus constructed in a way analogous to that of the highest weight representations of Lie algebras. 2007 Article Quantum Super-Integrable Systems as Exactly Solvable Models / A.P. Fordy // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 15 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35Q40; 70H06 http://dspace.nbuv.gov.ua/handle/123456789/147791 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 |
We consider some examples of quantum super-integrable systems and the associated nonlinear extensions of Lie algebras. The intimate relationship between super-integrability and exact solvability is illustrated. Eigenfunctions are constructed through the action of the commuting operators. Finite dimensional representations of the quadratic algebras are thus constructed in a way analogous to that of the highest weight representations of Lie algebras. |
| format |
Article |
| author |
Fordy, A.P. |
| spellingShingle |
Fordy, A.P. Quantum Super-Integrable Systems as Exactly Solvable Models Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Fordy, A.P. |
| author_sort |
Fordy, A.P. |
| title |
Quantum Super-Integrable Systems as Exactly Solvable Models |
| title_short |
Quantum Super-Integrable Systems as Exactly Solvable Models |
| title_full |
Quantum Super-Integrable Systems as Exactly Solvable Models |
| title_fullStr |
Quantum Super-Integrable Systems as Exactly Solvable Models |
| title_full_unstemmed |
Quantum Super-Integrable Systems as Exactly Solvable Models |
| title_sort |
quantum super-integrable systems as exactly solvable models |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147791 |
| citation_txt |
Quantum Super-Integrable Systems as Exactly Solvable Models / A.P. Fordy // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 15 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT fordyap quantumsuperintegrablesystemsasexactlysolvablemodels |
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2023-05-20T17:28:32Z |
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2023-05-20T17:28:32Z |
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