Abstract:
In this work we present an important contribution to the non-commutative
approach to the hydrogen atom to deal with lamb shift corrections. This can be done by
studying 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 and by comparing with the result of the current
experimental results on the Lamb shift of the 2P level to extract a bound on the parameter
of non-commutativity. Phenomenologically we show that the non-commutativity effects
induce lamb shift corrections
