Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Kalnins, E.G., Kress, J.M., Post, S., Miller Jr., W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149255
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials / E.G. Kalnins, J.M. Kress, Willard Miller Jr., S. Post // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 27 назв. — англ.

The structure theory for the quadratic algebra generated by first and second order constants of the motion for 2D second order superintegrable systems with nondegenerate (3-parameter) and or 2-parameter potentials is well understood, but the results for the strictly 1-parameter case have been incomp...