Energy spectrum of some diatomic molecules using Nikiforov-Uvarov functional analysis

Abstract

In this present work, the Nikiforov-Uvarov functional analysis is suggested to determine the solutions of the Schrodinger equation supported by different types of potentials and employing the Greene-Aldrich approximation. The objective was to estimate the energy spectrum of some diatomic molecules (CO, NO, N2, CH) by resolving the Schrodinger equation with the collective potential model (modified Kratzer potential plus Yukawa potential). As we compared our eigenvalue outcomes with other numerical results that were acquired by other researchers for the specific case of modified Kratzer potential, we observed that this method produced satisfactory results. The present approach may be applied to similar problems in the literature.