Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Author: Tsiganov, A.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148470
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates / A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 15 назв. — англ.

Recently we proposed a generic construction of the additional integrals of motion for the Stäckel systems applying addition theorems to the angle variables. In this note we show some trivial examples associated with angle variables for elliptic and parabolic coordinate systems on the plane.