The symbol • r stands for an integration over the electronic degrees of freedom, and we removed all dependencies on r within • r to imply that this variable is integrated out. The TDVP and the TDPES are electronic quantities that evolve in time as effect of electronic dynamics, which is coupled to the nuclear dynamics in nonadiabatic conditions, and completely determine the nuclear evolution via the nuclear TDSE (4). It is interesting to note that the TDVP is related to the nuclear momentum field, as