with dt the integration time step. Being P α ml (t) a real quantity, one has to take the real part of the numerator in brackets. CT-TSH trajectories remain, however, coupled, because Eq. ( ) is used to propagate the electronic coefficients, as in CT-MQC, thus the quantum momentum has to be computed. When the electronic evolution equation of standard TSH is complemented with the coupled-trajectory term of Eq. ( ) the overcoherence problem of TSH is overcome, since the quantum momentum allows one to account for decoherence effects, as shown in previous work .