Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-05-11
Phys.Rev.D76:064016,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages
Scientific paper
10.1103/PhysRevD.76.064016
The first order perturbations of the energy levels of a stationary hydrogen atom in static external gravitational field, with Schwarzschild metric, are investigated. The energy shifts are calculated for the relativistic 1S, 2S, 2P, 3S, 3P, 3D, 4S, 4P, 4D and 4F levels. The results show that the energy-level shifts of the states with total angular momentum quantum number 1/2 are all zero, and the ratio of absolute energy shifts with total angular momentum quantum number 5/2 is 1:4:5. This feature can be used to help us to distinguish the gravitational effect from other effect.
Li Xiang-Gui
Liu Yu-Xiao
Zhao Zhen-Hua
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