Models of quadratic quantum algebras and their relation to classical superintegrable systems

E. G. Kalnins, W. Miller, S. Post

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We show how to construct realizations (models) of quadratic algebras for 2D second order superintegrable systems in terms of differential or difference operators in one variable. We demonstrate how various models of the quantum algebras arise naturally from models of the Poisson algebras for the corresponding classical superintegrable system. These techniques extend to quadratic algebras related to superintegrable systems in n dimensions and are intimately related to multivariable orthogonal polynomials.

Original languageEnglish (US)
Pages (from-to)801-808
Number of pages8
JournalPhysics of Atomic Nuclei
Volume72
Issue number5
DOIs
StatePublished - May 2009

Bibliographical note

Copyright:
Copyright 2009 Elsevier B.V., All rights reserved.

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