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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
Feb
13
comment Why does iteratively solving the Hartree-Fock equations result in convergence?
Thanks to all who replied / commented on this. I am cross-posting this to the Computational Science SE.