Solutions of Noncommutative Two-Dimensional Position–Dependent Mass Dirac Equation in the Presence of Rashba Spin-Orbit Interaction by Using the Nikiforov–Uvarov Method

Abstract

We study the combined effects of both position-dependent mass (PDM) and Rashba spin-orbit interaction (RSOI) on the Dirac equation of a spin 1/2 particle moving in a plane and in the presence of a magnetic field within noncommutative (NC) phase-space. The eigenvalues of the two-dimensional system are calculated and the corresponding eigenstates are obtained. The model is solved using NU method then some numerical results are given and used to extensively investigate the behavior of the system under the various influences of linear potential (involved in PDM), magnetic field and RSOI in both commutative and NC frameworks.