On solutions of the Schrödinger equation for some molecular potentials: Wave function ansatz

Abstract

Making an ansatz to the wave function, the exact solutions of the D-dimensional radial Schrödinger equation with some molecular potentials, such as pseudoharmonic and modified Kratzer, are obtained. Restrictions on the parameters of the given potential, δ and η are also given, where η depends on a linear combination of the angular momentum quantum number l and the spatial dimensions D and δ 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. © Versita Warsaw and Springer-Verlag Berlin Heidelberg 2008.