Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 2, pp. 276-280
Citer cet article
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/
@article{TMF_1970_5_2_a9,
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},
year = {1970},
volume = {5},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1970_5_2_a9/}
}
TY - JOUR
AU - V. F. Dmitriev
AU - Yu. B. Rumer
TI - $O(2,1)$ Algebra and the hydrogen atom
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1970
SP - 276
EP - 280
VL - 5
IS - 2
UR - http://geodesic.mathdoc.fr/item/TMF_1970_5_2_a9/
LA - ru
ID - TMF_1970_5_2_a9
ER -
%0 Journal Article
%A V. F. Dmitriev
%A Yu. B. Rumer
%T $O(2,1)$ Algebra and the hydrogen atom
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1970
%P 276-280
%V 5
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1970_5_2_a9/
%G ru
%F TMF_1970_5_2_a9
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 $O(2,1)$.
