In the previous calculation the wave function was initialized from an initial state obtained on a different PES than the one the dynamics was propagated on. In this subsection we will explore an initialization from a stationary VSCF ground state calculation on the potential surface and then initialize dynamics by introducing a time-dependent Hamiltonian. This time-dependent Hamiltonian can, as an example, model a short laser pulse interacting with the vibrational ground state. We note that we in the present case do not consider the lowest-energy state which is localized in a single well. Details on how to carry out a VSCF calculation in a split basis can be found in Appendix A.