Superintegrable St\"ackel Systems on the Plane: Elliptic and Parabolic Coordinates
Exactly Solvable and Integrable Systems
2012-05-28 v2 Mathematical Physics
Dynamical Systems
math.MP
Abstract
Recently we proposed a generic construction of the additional integrals of motion for the St\"ackel 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.
Cite
@article{arxiv.1204.1801,
title = {Superintegrable St\"ackel Systems on the Plane: Elliptic and Parabolic Coordinates},
author = {Andrey V. Tsiganov},
journal= {arXiv preprint arXiv:1204.1801},
year = {2012}
}