Influence of external electric fields on multi-photon transitions between the 2s, 2p and 1s levels for hydrogen and anti-hydrogen atoms and hydrogen-like ions

Abstract

One- and two-photon transitions in the hydrogen atom are analytically evaluated in the absence and in the presence of an external electric field. The emission probabilities are different for the hydrogen and anti-hydrogen atoms due to the existence of contributions, linear in electric field. The magnitude of these contributions is evaluated within the nonrelativistic limit. The Coulomb Green function method is applied. Different nonrelativistic "forms" for the decay probabilities in combination with different gauge choices are considered. The three-photon E1E1E1 2p-1s transition probability is also evaluated and possible applications of the results are discussed.

23 pages, 1 table

References in corpus (3)

• Two-photon transitions in hydrogen and cosmological recombination
• Self-Energy Correction to the Two-Photon Decay Width in Hydrogenlike Atoms
• Theoretical study of the accuracy limits for the optical resonance frequency measurements

Cited by in corpus (7)

• Radiative QED corrections to one-photon transition rates in hydrogen atom at finite temperatures
• Two-photon approximation in the theory of the electron recombination in hydrogen
• Access via laboratory experiments to the level mixing effect induced by blackbody radiation and its influence on the cosmological hydrogen recombination problem
• Two-photon decays of highly excited states in hydrogen
• Extension of the sum rule for the transition rates between multiplets to the multiphoton case
• Natural line profile asymmetry
• Reassessment of line profile asymmetry in measurements of the 1s-2s energy interval in hydrogen