Energy level splitting of a 2D hydrogen atom with Rashba coupling in non-commutative space

S Aghababaei,G Rezaei

Figure 1. Splitting energy levels (n, m) for a 2D hydrogen atom with Rashba coupling ${\lambda }_{R}\ne 0$. Since $[{H}_{R},{ \mathcal P }]\ne 0$ where ${ \mathcal P }\equiv {\gamma }^{0}$ as the spatial inversion operator, the inversion asymmetry from Rashba coupling is shown for $m\ne 0$ where the spin of the particle removes the degeneracy of the energy spectrum.