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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Bibliographic Details
Main Authors: Sarah Post, Willard Miller Jr., Ernest G. Kalnins
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2008-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2008.008