Kowalewski basis for the hydrogen atom
Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 1, pp. 67-72
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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.
@article{TMF_1981_47_1_a4,
author = {I. V. Komarov},
title = {Kowalewski basis for the hydrogen atom},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {67--72},
publisher = {mathdoc},
volume = {47},
number = {1},
year = {1981},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1981_47_1_a4/}
}
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/