In deriving CTMQC, the polar form of the nuclear wavefunction is inserted in Eq. ( ) and after separating real and imaginary parts two coupled evolution equations result, one for the phase and one for the modulus. As discussed in detail in Refs. [42,43], the equation for the modulus can be completely discarded in the classical limit, i.e., when neglecting the quantum Bohmian potential. The equation for the phase thus become