The thing was, Ralph indicated strongly the action of setting the derivate equal to zero in that expression but this was postponed to later on in the book as I just read, that was what confused me. For this I am sorry
In the chapter 9-5 "The Linear Variation Method" p. 363 from the book: Basic Principles and Techniques of Molecular Quantum Mechanics by Ralph Christoffersen, the first thing he does is to minimize the energy, E = c†Hc/c†Sc, by requiring its derivative with respect to the...
Thank you. I refer to "Basic Principles and Techniques of Molecular Quantum Mechanics" by Ralph E. Christoffersen, p. 445 + 483 footnotes, when I write: "something that is claimed to be equivalent in general I think".
Thank you, but the thing is if the summation runs from i<j instead of i,j, something that is claimed to be equivalent in general I think, then the factor is omitted, and I am not sure how this is so.
I am not sure why a factor of (½) appears in front of the summation over orbitals, i, j to N, of the Coulomb and exchange integrals in the HF energy expectation value.