Dirac Equation under Modified Hylleraas Potential in Noncommutative Spaces

In this paper, we study the interaction of spin 1/2 Dirac particles with the Hylleraas potential based on the noncommutative space framework. Solving the first-order correction of the energy level caused by the noncommutation parameter $\theta$ in the wave equation. The problem of energy level correction under the action of additional weak electric field is further analyzed. Due to the non-commutation parameter, the energy levels are split. The noncommutation parameter $\theta$ has a significant effect on the energy eigenvalues. The effect of $\theta$ on the energy level splitting caused by the electric field is reflected by adding a slight numerical change to the energy level after splitting.