We recall that the symbol C α j (t) stands for the j-th coefficient in the expansion of the electronic conditional amplitude in the adiabatic basis along the trajectory R α (t), and C α j (t) is its complex conjugate. Furthermore, in the above expression, we introduced the adiabatic energy E α j , i.e., the j-th eigenvalue of ĤBO , and the nonadiabatic coupling vector d α ν,ji = ϕ j (R)|∇ ν ϕ i (R) r | R=R α , both evaluated at the position R α (t). We will define the symbol f α ν,j below.