A note on elliptic coordinates on the Lie algebra e(3)
Exactly Solvable and Integrable Systems
2009-11-11 v2
Abstract
We introduce elliptic coordinates on the dual space to the Lie algebra e(3$ and discuss the separability of the Clebsch system in these variables. The proposed Darboux coordinates on e^*(3) coincide with the usual elliptic coordinates on the cotangent bundle of the two-dimensional sphere at the zero value of the corresponding Casimir function.
Cite
@article{arxiv.nlin/0609019,
title = {A note on elliptic coordinates on the Lie algebra e(3)},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:nlin/0609019},
year = {2009}
}
Comments
4 pages, LaTeX and AmsTex. Accepted to J.Phys.A