James Womack
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 Apr 14 awarded Popular Question Feb 8 accepted Why can the bra and ket be varied independently? Feb 5 comment Why can the bra and ket be varied independently? It would be a great help if you could elaborate on the generalization to functional derivatives. There are many resources online discussing this result in terms of partial derivatives, but I have yet to find one that clearly casts the result in terms of functional derivatives. Feb 5 comment Why can the bra and ket be varied independently? Thanks for your helpful answer. When I posted the question, I realized that it was more fundamental than the bra-ket notation. However, this was the way I originally conceived the question (before researching the issue) and I thought that other people with the same question might find this quicker by relating it directly to bra-ket notation. Feb 4 revised Why can the bra and ket be varied independently? Added missing word. Feb 4 asked Why can the bra and ket be varied independently? Dec 22 awarded Nice Question Sep 13 awarded Popular Question Jul 4 awarded Yearling Jul 4 asked Proving that the electronic Schrödinger equation has no closed analytic solutions for >1 electron Jul 2 awarded Curious Sep 25 comment Number of unique 2-electron integrals Thanks. Could you elaborate a bit on your rationale, please? I'm still having trouble deriving the correct answer. Sep 25 asked Number of unique 2-electron integrals Aug 30 asked The Hermiticity of the Laplacian (and other operators) Jul 11 comment Minimizing the energy of a Slater determinant: why are the Lagrange multiplier elements of a Hermitian matrix? Thanks for your answer. As I understand it, in your generalization, $C$ is equivalent to the matrix of Lagrange multipliers and $H$ is equivalent to the matrix of the overlap integrals $[a|b]$. The second term on the right of the Lagrange function equation is equivalent to the trace over $CH$, so showing $C$ is Hermitian is equivalent to showing that $\varepsilon_{ab} = \varepsilon_{ba}^{*}$. I was not aware that $C = A + B$ - could you point me to somewhere where this is explained? Jul 11 awarded Scholar Jul 11 accepted Minimizing the energy of a Slater determinant: why are the Lagrange multiplier elements of a Hermitian matrix? Jul 10 asked Minimizing the energy of a Slater determinant: why are the Lagrange multiplier elements of a Hermitian matrix? Mar 28 asked Does spin alone have any effect on the physical interactions of particles? Feb 13 revised Why does iteratively solving the Hartree-Fock equations result in convergence? added link to cross-posted question