Note that we refer to the trajectories determined according to Eq. ( ) as quantum trajectories in a (Bohmian) hydrodynamic sense. If one focuses only on the nuclear TDSE (4), then the TDVP is the Bohmian definition of the momentum field for quantummechanical particles described by a real wavefunction in the presence of an external vector potential . It was recently proven that this procedure is equivalent to propagating trajectories according to forces that include the combined effect of the TDPES and of the quantum potential -usually arising from the Bohmian formulation of quantum dynamics. In addition, the analysis reported here differs from the setup of Ref. where the dynamics of the trajectories was driven only by the TDPES (without the quantum potential) and, thus, the trajectories were purely "classical".