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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Date: | 2008 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2008
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/148996 |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | 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. |