General SCF operator satisfying correct variational condition

We have shown that the correct variational equations for the general SCF orbitals are [Fi−Σj |ψj〉 〈 ψj |Gji] |ψi〉=0, where Gji=λjiFj+(1−λji)Fi; λji≠ 0 and how these may be combined into simple eigenvalue problems. In the course of discussions, we re-examined whether the coupling operators suggested previously are based on the correct variational conditions.