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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2007 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147791 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862653938112659456 |
|---|---|
| author | Fordy, A.P. |
| author_facet | Fordy, A.P. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-01T23:49:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147791 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T23:49:37Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Fordy, A.P. 2019-02-16T08:12:26Z 2019-02-16T08:12:26Z 2007 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 https://nasplib.isofts.kiev.ua/handle/123456789/147791 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. This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Quantum Super-Integrable Systems as Exactly Solvable Models Article published earlier |
| spellingShingle | Quantum Super-Integrable Systems as Exactly Solvable Models Fordy, A.P. |
| title | 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_short | Quantum Super-Integrable Systems as Exactly Solvable Models |
| title_sort | quantum super-integrable systems as exactly solvable models |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147791 |
| work_keys_str_mv | AT fordyap quantumsuperintegrablesystemsasexactlysolvablemodels |