Second Order Superintegrable Systems in Three Dimensions

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2005
• 1. Verfasser: Miller, W.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2005
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/209345
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Second Order Superintegrable Systems in Three Dimensions / W. Miller // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 39 назв. — англ.

A classical (or quantum) superintegrable system on an n-dimensional Riemannian manifold is an integrable Hamiltonian system with a potential that admits 2n-1 functionally independent constants of the motion that are polynomial in the momenta, the maximum number possible. If these constants of the mo...