This article is cited in 9 papers

$O(2,1)$ Algebra and the hydrogen atom

V. F. Dmitriev, Yu. B. Rumer


Abstract: 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 $O(2,1)$.

Received: 16.03.1970

 English version: Theoretical and Mathematical Physics, 1970, 5:2, 1146–1149