Models of Quadratic Algebras Generated by Superintegrable Systems in 2D

Symmetry Integrability and Geometry-Methods and Applications

article

Sarah Post¹ 

[1] Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128 succ. Centre-Ville

关键词: quadratic algebras;    superintegrability;    special functions;    representation theory;   

DOI  :  10.3842/SIGMA.2011.036

来源: National Academy of Science of Ukraine

【 摘 要 】

In this paper, we consider operator realizations of quadratic algebras generated by second-order superintegrable systems in 2D. At least one such realization is given for each set of Stäckel equivalent systems for both degenerate and nondegenerate systems. In almost all cases, the models can be used to determine the quantization of energy and eigenvalues for integrals associated with separation of variables in the original system.

【 授权许可】

Unknown