Flat coordinates for flat St\"ackel systems
Exactly Solvable and Integrable Systems
2014-06-10 v1
Abstract
In this article we explicitely construct transformation bewteen separable and flat coordinates for flat St\"ackel systems and exploit the structre of these systems in flat coordinates. In the elliptic case these coordinates become well known generalized elliptical coordinates of Jacobi.
Cite
@article{arxiv.1406.2117,
title = {Flat coordinates for flat St\"ackel systems},
author = {Krzysztof Marciniak and Maciej Blaszak},
journal= {arXiv preprint arXiv:1406.2117},
year = {2014}
}