In general, Figs. and show that the initial dynamics simulated with CT-MQC and CT-TSH is basically identical, and this is because the trajectories evolve adiabatically on S 1 . When they reach the CIs, however, the treatment of the dynamics differs regarding both the nuclear forces and the evolution of the electronic coefficients. When and after the nonadiabatic event occurs, CT-MQC and CT-TSH yield (slightly) different results. The analysis of Figs. 4 and 5 also suggests that we can directly compare average configurational properties extracted from quantum trajectories and from CT-MQC/CT-TSH tra-jectories. On the other hand, the behavior of quantum and coupled (or classical-like) trajectories in momentum space is qualitatively different as consequence of the different relations between initial positions and initial momenta in the two schemes.