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

Slimane Zaim, Lamine Khodja, Yazid Delenda

Published 2011-01-01, updated 2011-07-30Version 6

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.