Computing Vibrational And Vibrational-Rotational Energy Eigenvalues And Frank-Condon Factors Of ～7Li₂ By Finite Difference Method

A Finite-Difference method applied in the quantum calculation in quantum mechanics for the vibrational and vibrational -rotational and Frank-Condon factors of diatomic molecular is studied. Vibrational and vibrational-rotational energy eigenvalues and Frank-Condon factors for ⁷Li₂ have been calculated based on Morse potential energy function in terms of introducing Finite-difference method.The Vibration levels of HF are numerically calculated based on its potential energy functions. The dissociation energies and of some diatomic molecules have been calculated, spectral items are calculated by fitting, and the results are compared with another method also are compared with experimental results. It is effective and feasible to apply the Finite-Difference method in the quantum mechanics calculation for the vibration and vibration-rotational of diatomic molecular and the numerical results are consistent with result by other methods. The results are satisfactory, it is shows that and Finite-difference method are effective and have advantage.