is the corresponding 1particle (state or transition) density matrix, nonintegrated over spin. Furthermore, the scalar V F G N N is the constant interaction energy between the nuclei of fragments F and G, R G g is the position of the g-th nucleus of fragment G, and Z G g is its charge. With these definitions, the diagonal matrix element ⟨Φ| Ĥ|Φ⟩, where Φ is given in equation 3 within GFT is given by (dropping out the explicit limits in summations):