Exact Solutions of the Klein-Gordon Equation for Spherically Asymmetrical Singular Oscillator

The relativistic Klein-Gordon equation with equal scalar and vector spherically asymmetrical singular oscillators is solved using the asymptotic iteration method. The energy eigenvalues equation and the corresponding wave functions are obtain explicitly. It was found that the asymptotic iteration method provides the closed-forms for the energy eigenvalues as well as the eigenfunctions. The non-relativistic limit c→∞ of the energy spectrum, where c is the speed of light, have also been discussed. (author)