The above EOMs can be viewed as the generalization of the N -dimensional spin precession theory (Eq. 15) of Hioe and Eberly , where the electronic-nuclear coupling is explicitly considered here. The above equations were recently proposed as the EOMs for the Generalized Discrete Truncated Wigner Approximation (GDTWA) approach 51 by choosing r s = √ N + 1 (or s = W). The EOMs were argued as the classical limit of the Heisenberg EOMs 51 for the corresponding operators R, P , and Ŝk . Here, we present a rigorous derivation of these EOMs.