Dirac equation with position-dependent mass and its application

The formalism of Dirac equation for constant mass and position dependent mass is outlined in this study. During formalism, the equation is transformed into first order and second order differential equation forms respectively to solve for various physical potential. The eigenfunctions and eigenvalues of corresponding physical potentials are obtained in the framework of Asymptotic Iteration Method for both first order and second order form of Dirac equation. This method is applied to Coulomb potential, Harmonic Oscillator problem, Manning-Rosen potential, Eckart potential and Hulthen potential. The results are in a good agreement with the corresponding values found in the literature. Keywords: Dirac equation, position dependent mass, eigenvalues, eigenfunctions, asymptotic iteration method, physical potentials.