A differential equation for the energy eigenvalues of relativistic hydrogenic atoms, and its solution
作者:
Saul T. Epstein,
期刊:
American Journal of Physics
(AIP Available online 1976)
卷期:
Volume 44,
issue 3
页码: 251-252
ISSN:0002-9505
年代: 1976
DOI:10.1119/1.10466
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
By using various general theorems, differential equations for the energy are written down for Klein–Gordon and Dirac hydrogenic atoms. When coupled with the fact that in the nonrelativistic limit one must get the Bohr formula, these equations are shown to determine the exact energy eigenvalues. Also, in the case of the Klein–Gordon equation, a recursion relation is derived from which the average values of powers of the radius can be found.
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