which shows that, in general, energy-conservation is not guaranteed in this scheme. It should be noted that total energy conservation is also not assured in the other members of the family of EF trajectory-based methods. MQCXF uses the same electronic evolution and nuclear force as in CTMQC using auxiliary trajectories to compute the quantum momentum, and thus it does not satisfy energy conservation . CTTSH and SHXF use the electronic equation Eq.( ) within a SH framework, and as we discussed previously, the total energy of each trajectory will only be conserved if the electronic populations in the definition of the energy are obtained from the fraction of trajectories. On the other hand, CTEh and EhXF use the electronic equation Eq.( ) with an Eh force acting on the nuclei, and as we can see from Eq.( ) this implies energy non