Fig. presents a system with N = 5 electronic states on the four Bloch spheres (for the s = W case), and the distribution of θ i with the solid curves. As a comparison, the distribution used in Ref. 43 is shown with dashed curves. For a general N states system, we can see that the last Bloch sphere (here n = 4 in Fig. ) always contains only the last two electronic states, hence requiring a distribution of the last angle, θ N -1 , to be symmetric around π 2 (for any choice of s index). On the contrary, the first Bloch sphere (n = 1 in Fig. ) always puts the first electronic state on the north hemisphere, and all the other electronic states on the south hemisphere, requiring a distribution centered on the south hemisphere. As . Schematic representation of the Bloch spheres for a N = 5 system (with s = s = W). On the n = 4 sphere are represented θ4 and ϕ4. On the right of each sphere, the θn distribution is sketched from the differential phase space volume element in Eq. 21 (solid lines), and the distribution from the volume element previously derived in the literature (dashed lines).