Expectation Values and Energy Spectra of the Varshni Potential in Arbitrary Dimensions

The Klein-Gordon equation with Varshni potential was solved through the Nikiforov-Uvarov method. The Greene and Aldrich approximation schemes were employed to overcome the centrifugal barrier. The energy eigenvalues were obtained in relativistic and non-relativistic regimes, as well as the corresponding normalized wave functions. Energy spectra and expectation values of the square of inverse of position < r(-2)>, kinetic energy < T > and the square of the momentum <(P) over cap > for five selected diatomic molecules: H-2, HCl, TiH, I-2 and CO, using their separate spectroscopic parameters were computed through Hellmann-Feynman Theorem. Bound-state energy eigenvalues were also computed for Varshni potential and the numerical results agree with the already existing literature.