Bound state solutions of the Schrὃdinger equation and expectation value for some molecules

Abstract

Abstract An approximate solution of the radial Schrodinger equation for D-dimensional system has been studied in the presence of a combination of two molecular potentials via parametric Nikiforov-Uvarov method using a suitable approximation scheme to the centrifugal term. The ro-vibrational energy for CrH , NiC , CuLi and ScF were numerically studied using their respective spectroscopic parameters. We have also calculated the momentum expectation value from Fisher information using Cramer-Rao uncertainty relation. A special case of the combined potential (Hulthen potential) was also studied numerically and the results were found to be in excellent agreement with those in the literature.