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

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