Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D

There are 13 equivalence classes of 2D second order quantum and classical superintegrable systems with nontrivial potential, each associated with a quadratic algebra of hidden symmetries. We study the finite and infinite irreducible representations of the quantum quadratic algebras though the constr...

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Datum:2008
Hauptverfasser: Kalnins, E.G., Post, S., Miller Jr., W.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2008
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/148996
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D / E.G. Kalnins, W.Jr. Miller, S. Post // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 47 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine