Stäckel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Author: Vollmer, Andreas
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211173
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Stäckel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics. Andreas Vollmer. SIGMA 17 (2021), 015, 13 pages

A non-degenerate second-order maximally conformally superintegrable system in dimension 2 naturally gives rise to a quadric with position-dependent coefficients. It is shown how the system's Stäckel class can be obtained from this associated quadric. The Stäckel class of a second-order maximall...