On the solutions of the Schrodinger equation with some molecular potentials: wave function ansatz

Abstract

Making an ansatz to the wave function, the exact solutions of the $D$% -dimensional radial Schrodinger equation with some molecular potentials like pseudoharmonic and modified Kratzer potentials are obtained. The restriction on the parameters of the given potential, $\delta $ and $\eta $ are also given, where $\eta $ depends on a linear combination of the angular momentum quantum number $\ell $ and the spatial dimensions $D$ and $\delta $ is a parameter in the ansatz to the wave function. On inserting D=3, we find that the bound state eigensolutions recover their standard analytical forms in literature.