Solutions of N-dimensional Schr?dinger equation with Morse potential via Laplace transforms

摘要

A study is undertaken to investigate an analytical solution for the N-dimensional Schr?dinger equation with the Morse potential based on the Laplace transformation method. The results show that in the Pekeris approximation, the radial part of the Schr?dinger equation reduces to the corresponding equation in one dimension. In addition, a comparison is made between the energy spectrum resulted from this method and the spectra that are obtained from the two-point quasi-rational approximation method and the Nikiforov-Uvarov approach.