Structure Theory for Extended Kepler-Coulomb 3D Classical Superintegrable Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Authors: Kalnins, E.G., Miller Jr., W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148418
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Structure Theory for Extended Kepler-Coulomb 3D Classical Superintegrable Systems / E.G. Kalnins, W. Miller Jr. // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 28 назв. — англ.

The classical Kepler-Coulomb system in 3 dimensions is well known to be 2nd order superintegrable, with a symmetry algebra that closes polynomially under Poisson brackets. This polynomial closure is typical for 2nd order superintegrable systems in 2D and for 2nd order systems in 3D with nondegenerat...