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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• Main Authors: Kalnins, E.G., Post, S., Miller Jr., W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148996
• 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.

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...