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The asymptotic iteration method is used for Dirac and Klein–Gordon equations with a linear scalar potential to obtain the relativistic eigenenergies. A parameter, ς = 0, 1, is introduced in such a way that one can obtain Klein–Gordon bound states from Dirac bound states. It is shown that this method asymptotically gives accurate results for both Dirac and Klein–Gordon equations. [ABSTRACT FROM AUTHOR]

Within the framework of simple similarity transformation method, we present simple Schrödinger-like equation for Dirac equation with Hulthén 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 δ. [ABSTRACT FROM AUTHOR]