Analytical solution of the Morse and the Hulthen potentials by using asymptotic iteration method

In this talk, for any n and l values, we present a simple exact analytical solution of the radial Schrodinger equation for the Morse and Hulthen potentials within the framework of the asymptotic iteration method (AIM) by using an approximation to the centrifugal potential. The wave functions are physical and energy eigenvalues are in good agreement with the results obtained by other methods.