Lyman-Alpha Spectroscopy in Non-Commutative Space-Time

Abstract

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 non-commutativity applied to the hydrogen atom and the corrections induced to transitions frequencies. By writing the Dirac equation for noncommutative Coulomb potential, we compute noncommutative corrections of the energy levels using perturbation methods and by comparing to the Lamb shift accuracy we get a bound on the parameter of non-commutativity. We use this bound to study the effects on the Lyman-α ray and by induction look the possible influence of non-commutativity on some astrophysical and cosmological phenomena.

7 pages, no figures, Talk given at the 9th International Conference in Subatomic Physics and Applications (CIPSA 2013) in Constantine, Algeria

References in corpus (5)

• Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
• Particle-like solutions to classical noncommutative gauge theory
• Noncommutative Corrections to the Robertson-Walker metric
• Noncommutativity Effects in FRW Scalar Field Cosmology
• Constraining $f(R)$ Theories with Temporal Variation of Fine Structure Constant