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