Recently, the coupled-trajectory idea of CT-MQC, encoded in the quantum momentum, was combined with a TSH procedure to derive the CT-TSH scheme. CT-TSH dynamics promises to be more stable than CT-MQC at long times, at least when, as it was shown for a onedimensional system , the TDPES develops an oscillatory behavior. This can happen if the trajectories cross a nonadiabatic region several times and interfere. In addition, the computational cost for the force calculation is reduced if compared to CT-MQC because the nonadiabatic force, depending on the nonadiabatic coupling vectors, does not appear. In CT-TSH, the force driving a trajectory is simply determined from the gradient of the adiabatic energy of the running state, i.e., the state associated to that trajectory at a given time. The running state changes over time as a trajectory can hop from one state to another according to the standard fewest switches procedure. The probability for a hop from state m to state l to occur at time t is determined as [9]