The Hydrogen Spectrum in Non-Commutative Space-Time: Application to the Lyman-α Line and the 2S-1S Transition

Details The Hydrogen Spectrum in Non-Commutative Space-Time: Application to the Lyman-α Line and the 2S-1S Transition The Hydrogen Spectrum in Non-Commutative Space-Time: Application to the Lyman-α Line and the 2S-1S Transition

2010-06-23

arxiv.org/abs/1006.4590v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, no figures

Scientific paper

Recently, there has been a certain amount of activity around the theme of cosmological and astrophysical applications of noncommutative geometry models of particle physics. We study space-time noncommutativity applied to the hydrogen atom and the corrections induced to transitions frequencies. By solving the Dirac equation for noncommutative Coulomb potential, we compute noncommutative corrections of the energy levels and by comparing to tke Lamb shift accuracy we get a bound on the parameter of noncommutativity. We use this bound to study the effects on the Lyman-{\alpha} ray and the 2S-1S transition and by induction the possible influence of noncommutativity on some astrophysical and cosmological phenomena.

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