Two-Variable Wilson Polynomials and the Generic Superintegrable System on the 3-Sphere

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Kalnins, E.G., Miller Jr., W., Post, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147168
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Two-Variable Wilson Polynomials and the Generic Superintegrable System on the 3-Sphere / E.G. Kalnins, W. Miller Jr., S. Post // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 46 назв. — англ.

We show that the symmetry operators for the quantum superintegrable system on the 3-sphere with generic 4-parameter potential form a closed quadratic algebra with 6 linearly independent generators that closes at order 6 (as differential operators). Further there is an algebraic relation at order 8 e...