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

Abstract: 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 kinetic energy and the square of the momentum for five selected diatomic molecules: H2, HCl, TiH, I2 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. Keywords: Expectation values, Varshni potential, Nikiforov-Uvarov method, Klein-Gordon equation.