A note on elliptic coordinates on the Lie algebra e(3)
arXiv:nlin/0609019 · doi:10.1088/0305-4470/39/38/L01
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.
4 pages, LaTeX and AmsTex. Accepted to J.Phys.A