Time-correlation function and average energy of molecules in presence of Deng-Fan potential in a moving boundary

For the Deng-Fan potential within a moving boundary condition, time-dependent Schrödinger equation is considered analytically. The eigenvalue solved by using combination of Pekeris and Greene-Aldrich approximations. Various quantities including density distribution function, auto-correlation disequilibrium, average energy, quantum similarity, similarity index are obtained for selected eight diatomic molecules. motion peak with condition investigated ground states some molecules along corresponding values.