Second-order corrections to the non-commutative Klein-Gordon equation with a Coulomb potential

Abstract

We improve the previous study of the Klein-Gordon equation in a non-commutative space-time as applied to the Hydrogen atom to extract the energy levels, by considering the second-order corrections in the non-commutativity parameter. Phenomenologically we show that non-commutativity is the source of lamb shift corrections.

12 pages, no figures

References in corpus (2)

• Noncommutative Point Sources
• Dirac Equation in Noncommutative Space for Hydrogen Atom

Cited by in corpus (11)

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• Upper bound on the momentum scale in noncommutative phase space of canonical type
• Kinematic variables in noncommutative phase space and parameters of noncommutativity
• Noncommutative phase space with rotational symmetry and hydrogen atom
• Perturbation of the ns energy levels of the hydrogen atom in rotationally invariant noncommutative space
• Two-particle system in noncommutative space with preserved rotational symmetry
• Noncommutative of space-time and the relativistic Hydrogen atom
• Influence of noncommutativity on the motion of Sun-Earth-Moon system and the weak equivalence principle