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A note on elliptic coordinates on the Lie algebra e(3)

A. V. Tsiganov
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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.

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A. V. Tsiganov. 2006-09-13. A note on elliptic coordinates on the Lie algebra e(3). https://doi.org/10.1088/0305-4470%2F39%2F38%2Fl01

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