Gravitational Corrections to the Energy-Levels of a Hydrogen Atom

Abstract

The first order perturbations of the energy levels of a hydrogen atom in central internal gravitational field are investigated. The internal gravitational field is produced by the mass of the atomic nucleus. The energy shifts are calculated for the relativistic 1S, 2S, 2P, 3S, 3P, 3D, 4S and 4P levels with Schwarzschild metric. The calculated results show that the gravitational corrections are sensitive to the total angular momentum quantum number.

arXiv comment7 pages

References in corpus (7)

• New Limits to the Drift of Fundamental Constants from Laboratory Measurements
• Discrete approaches to quantum gravity in four dimensions
• Cold Collision Frequency Shift of the 1S-2S Transition in Hydrogen
• Energy and angular momentum of the gravitational field in the teleparallel geometry
• Calculation of the Electron Self Energy for Low Nuclear Charge
• Hydrogen atom in the gravitational fields of topological defects
• Compact solid-state laser source for 1S-2S spectroscopy in atomic hydrogen

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• Semiclassical approach to atomic decoherence by gravitational waves
• Relativistic Two-Body Coulomb-Breit Hamiltonian in an External Weak Gravitational Field
• The Underlying Mechanisms of Time Dilation and Doppler Effect in Curved Space-Time