Geodesic
$O(2,1)$~Algebra and the hydrogen atom
Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 2, pp. 276-280

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It is shown that both the nonrelativistic and the relativistic problems for the hydrogen atom can be formulated in terms of the generators of the noncompact algebra $O(2,1)$. The possible values of the energy (the Balmer and Sommerfeld formulas, respectively), can be determined by an appropriate choice of the basis (tilt) for the generators in the algebra $O(2,1)$. 
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     author = {V. F. Dmitriev and Yu. B. Rumer},
     title = {$O(2,1)${~Algebra} and the hydrogen atom},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {276--280},
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     volume = {5},
     number = {2},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_5_2_a9/}
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V. F. Dmitriev; Yu. B. Rumer. $O(2,1)$~Algebra and the hydrogen atom. Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 2, pp. 276-280. http://geodesic.mathdoc.fr/item/TMF_1970_5_2_a9/