A Recurrence Relation Approach to Higher Order Quantum Superintegrability

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Kalnins, E.G., Kress, J.M., Miller Jr., W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146806
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Recurrence Relation Approach to Higher Order Quantum Superintegrability / E.G Kalnins, J.M. Kress, W. Miller Jr. // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 30 назв. — англ.

We develop our method to prove quantum superintegrability of an integrable 2D system, based on recurrence relations obeyed by the eigenfunctions of the system with respect to separable coordinates. We show that the method provides rigorous proofs of superintegrability and explicit constructions of h...