Abstract
Within the framework of simple similarity transformation method, we present simple Schrodinger-like equation for Dirac equation with Hulthen and Eckart Lorentz vectors potentials. Using the asymptotic iteration method we have managed to obtain the explicit analytical solution of the bound state energy spectra as well as the eigenfunctions for both potentials. Discussion related to the eigenfunction for both cases is also considered. We have shown that the wave function is sensitive for both potentials as well as the parameter delta .