Quantum Super-Integrable Systems as Exactly Solvable Models

dc.contributor.author	Fordy, A.P.
dc.date.accessioned	2019-02-16T08:12:26Z
dc.date.available	2019-02-16T08:12:26Z
dc.date.issued	2007
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 35Q40; 70H06
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147791
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Quantum Super-Integrable Systems as Exactly Solvable Models	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA