n is the instantaneous nuclear kinetic energy of the trajectory α. In CT-TSH, the trajectories are propagated adiabatically as in TSH-ED, thus the force is the same as in Eq. ( ), with hopping probability given by Eq. ( ). In CT-TSH, decoherence effects are automatically taken care of by the quantum-momentum term in Eq. ( ), therefore, as discussed above, the trajectories have to propagated simultaneously in order to evaluate the nuclear density from the distribution of the classical trajectories.