$O(2,1)$ Algebra and the hydrogen atom
Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 2, pp. 276-280 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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