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Manu: done with III

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Emmanuel Fromager 2020-03-11 17:47:20 +01:00
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Manuscript/eDFT.tex
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@ -1176,7 +1176,8 @@ or, equivalently,
\end{equation} \end{equation}
where the $K$th correlation excitation energy (per electron) is integrated over the where the $K$th correlation excitation energy (per electron) is integrated over the
ensemble weight $\xi_K$ at fixed (uniform) density $\n{}{}$. ensemble weight $\xi_K$ at fixed (uniform) density $\n{}{}$.
Equation \eqref{eq:eLDA_gace} nicely highlights the centrality of the LDA in the present density-functional approximation for ensemble. Equation \eqref{eq:eLDA_gace} nicely highlights the centrality of the
LDA in the present density-functional approximation for ensembles.
In particular, ${\e{c}{(0,0)}(\n{}{})} = \e{c}{\text{LDA}}(\n{}{})$. In particular, ${\e{c}{(0,0)}(\n{}{})} = \e{c}{\text{LDA}}(\n{}{})$.
Consequently, in the following, we name this correlation functional ``eLDA'' as it is a natural extension of the LDA for ensembles. Consequently, in the following, we name this correlation functional ``eLDA'' as it is a natural extension of the LDA for ensembles.
Finally, we note that, by construction, Finally, we note that, by construction,