Hydrogen-like atom in the gravitational field of the universe

Details Hydrogen-like atom in the gravitational field of the universe Hydrogen-like atom in the gravitational field of the universe

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985svphj..28...47m&link_type=abstract

Soviet Physics Journal, Volume 28, Issue 1, pp.47-51

Physics

Scientific paper

Exact solutions are obtained for a hydrogen-like atom in an external cosmological field of the closed and open universe. It is found that in the closed model, in addition to a gravitational analog of the Stark effect, there is a new effect-atom ionization by the gravitational field. In the open model, discrete and continuous spectra are obtained; furthermore, discrete spectrum consists of a finite number of states, and in the continuous spectrum the effect of the proton field is preserved despite absence of a bound state. It is shown that transition frequency depends on the radius (age) of the universe in both models, and, consequently, a hydrogen-like atom, in principle, cannot serve as a reference of time-frequency-length.

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