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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
 
Creator Fordy, A.P.
 
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.
 
Date 2019-02-16T08:12:26Z
2019-02-16T08:12:26Z
2007
 
Type Article
 
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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України