The effect of nucleus size on the electron energy levels: via Seiberg-Witten map

Abstract

We compare the effects of the entering non - commutative geometry in physics, which have studied by Bob's shift method and Seiberg-Witten map. Due to the corrections of the electron energy levels, we demonstrate that two approaches are not equivalent. We show that the electric and magnetic dipole moments, as well as one loop vertex correction, change due to the mapping selection. Furthermore, we provide a way to communicate the results of the two methods.