Hydrogen atom and its energy level shifts in de Sitter universe

Details Hydrogen atom and its energy level shifts in de Sitter universe Hydrogen atom and its energy level shifts in de Sitter universe

Feb 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010gregr..42..435m&link_type=abstract

General Relativity and Gravitation, Volume 42, Issue 2, pp.435-442

Mathematics

Logic

1

Fermi Normal Coordinates, Cosmological Constant

Scientific paper

We investigate the influence of a cosmological constant on the energy levels of a one-electron atom in Fermi normal coordinates. The non-relativistic nS, nP energy levels and the relativistic 1 S 1/2, 2 S 1/2, 2 P 1/2, 2 P 3/2 energy levels are calculated in terms of the Riemann tensor. These energy level shifts are non-zero which indicate that the first order gravitational perturbations can partly remove the degeneracy of the studied states in de Sitter space. We show that it is not possible to use the hydrogen atom as a probe of background curvature of the universe. In the second order of perturbation, for 1 S state, an upper limit for the energy shifts is obtained.

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