Eigen Solutions of Schrodinger Equation with Screened-Kratzer-Eckart Potential (SKEP) Model in Higher Dimensions for Hydrogen-Related Diatomic Molecules

The screened-Kratzer-Eckart potential (SKEP) model is known to be a very effective potential model due to its combined effort in predicting the behaviour of diatomic molecules. The aim of this research is to study the variation of the energy eigenvalues of some hydrogen-related diatomic molecules with different spectroscopic parameters, both numerically and graphically. By employing the Nikiforov-Uvarov functional analysis (NUFA) method, the radial Schrodinger equation with the SKEP model was solved. The analytical expressions of the energy eigenvalues and un-normalized wave function were obtained in closed forms. Variations of energy eigenvalues with quantum numbers and spectroscopic parameters, with respect to selected hydrogen-related molecules were discussed extensively. Our numerical and graphical considerations show that the energies of SKEP depend strongly on the quantum states of the diatomic molecules, as well as their spectroscopic parameters.