Second Order Superintegrable Systems in Three Dimensions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2005
• Main Author: Miller, W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209345
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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...