In this section, we report the results of our NAMD simulations using the trajectory-based methods MTE, TSH-ED, CTMQC and (C)CTTSH illustrated in Section II A. While in Ref. [73] the dynamics simulated using the LVC models has been analyzed only based on the electronic populations, we report here an in-depth comparison of independent-trajectory and coupled-trajectory methods by studying time-dependent electronic and nuclear properties. We note that the differences that we will observe in the simulated dynamics are solely ascribed to the different behaviors of the molecules and of the algorithms, since the electronic structure is treated analytically in the same way in all cases.