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

S Aghababaei,G Rezaei

Figure 2. Splitting energy corresponding to the levels (2, 1) of the 2D hydrogen atom with Rashba coupling ${\lambda }_{R}\sim {10}^{-4}$, in the NC space. The black and red lines denote removing the degeneracy level for coordinates with $\theta \sim {(10\mathrm{MeV})}^{-2}$ and momenta non-commutativity $\bar{\theta \,}\,\sim {({10}^{-2}\mathrm{MeV})}^{2}$, respectively.