On hydrogen-like atoms in strong gravitational fields

Details On hydrogen-like atoms in strong gravitational fields On hydrogen-like atoms in strong gravitational fields

Jul 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cqgra...4.1031g&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 4, July 1, 1987, p. 1031-1042.

Computer Science

3

Atomic Energy Levels, Gravitational Fields, Hydrogen Atoms, Space-Time Functions, Circular Orbits, Fine Structure, Radial Velocity, Riemann Manifold, Schwarzschild Metric

Scientific paper

Energy levels and wavefunctions of a freely falling hydrogen-like atom in a strong gravitational field are considered. To first order in the Riemann tensor and the fine structure constant, these quantities are obtained for atoms either in radial infall or circular orbit in a Schwarzschild background field. Analytical solutions are provided for the case where the gravitational perturbation is small compared with the fine structure, and numerical results are presented for the regime where the gravitational interaction is of the order of the fine structure splitting or even dominates it. The tidally induced energy shifts of highly excited Rydberg atoms may in principle be used to determine the local spacetime curvature or the space curvature parameter from PPN theory.

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