Exact solutions for vibrational states with generalized q-deformed Morse potential within the asymptotic iteration method

Exact eigenvalues and eigenfunctions of the Schrodinger equation with generalized q-deformed Morse potential for diatomic molecules have been derived in the framework of the asymptotic iteration method (AIM). The obtained solutions have been applied to calculate the energies of bound vibrational levels of the lithium molecule in the   state. Compared to AIM previous calculations, our results are extremely accurate and are in excellent agreement with those using different approximation techniques.   Key words: q-Deformed Morse potential, asymptotic iteration method.