Quantum Super-Integrable Systems as Exactly Solvable Models
Vernadsky National Library of Ukraine
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Title |
Quantum Super-Integrable Systems as Exactly Solvable Models
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Creator |
Fordy, A.P.
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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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Date |
2019-02-16T08:12:26Z
2019-02-16T08:12:26Z 2007 |
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Type |
Article
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Identifier |
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 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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