Geodesic
Kowalewski basis for the hydrogen atom
Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 1, pp. 67-72 
I. V. Komarov. Kowalewski basis for the hydrogen atom. Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 1, pp. 67-72. http://geodesic.mathdoc.fr/item/TMF_1981_47_1_a4/
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     title = {Kowalewski basis for the hydrogen atom},
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The completely integrable problem of Kowalewski's top in classical mechanics is extended to the groups $O(4)$ and $O(3,1)$. For each classical system on the groups $O(4)$, $E(3)$, $O(3,1)$ three inequivalent quantum analogs are found. For the Coulomb problem, this results in the construction of one Kowalewski basis in classical mechanics and three in quantum mechanics.

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