Examples of Complete Solvability of 2D Classical Superintegrable Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Authors: Chen, Y., Kalnins, E.G., Li, Q., Miller Jr., W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147159
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Examples of Complete Solvability of 2D Classical Superintegrable Systems / Y. Chen, E.G. Kalnins, Q. Li, W. Miller Jr // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 42 назв. — англ.

Classical (maximal) superintegrable systems in n dimensions are Hamiltonian systems with 2n−1 independent constants of the motion, globally defined, the maximum number possible. They are very special because they can be solved algebraically. In this paper we show explicitly, mostly through examples...