From 009e5f0e6722b9fc407a357dc961d0a7e191be7e Mon Sep 17 00:00:00 2001 From: Pierre-Francois Loos Date: Fri, 12 Apr 2019 09:47:09 +0200 Subject: [PATCH] up to RSDFT --- Manuscript/G2-srDFT.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/Manuscript/G2-srDFT.tex b/Manuscript/G2-srDFT.tex index 9950561..e6d21df 100644 --- a/Manuscript/G2-srDFT.tex +++ b/Manuscript/G2-srDFT.tex @@ -293,9 +293,9 @@ such that the long-range interaction \end{equation} \PFL{This expression looks like a cheap spherical average. What about $\rsmu{\Bas}{}(\br{1},\br{2}) = \sqrt{\rsmu{\Bas}{}(\br{1}) \rsmu{\Bas}{}(\br{2})}$ and a proper spherical average to get $\rsmu{\Bas}{}(r_{12})$?} -coincides with the effective interaction $\W{\Bas}{}(\br{})$ at coalescence, i.e.~$\w{}{\lr,\rsmu{\Bas}{}}(\br{},\br{}) = \W{\Bas}{}(\br{})$. +coincides with the effective interaction at coalescence, i.e.~$\w{}{\lr,\rsmu{\Bas}{}}(\br{},\br{}) = \W{\Bas}{}(\br{})$. -Once defined, $\rsmu{\Bas}{}(\br{})$ can be used in RS-DFT functionals defined to approximate $\bE{}{\Bas}[\n{}{}]$. +Once defined, $\rsmu{\Bas}{}(\br{})$ can be used in RS-DFT functionals to approximate $\bE{}{\Bas}[\n{}{}]$. As in Ref.~\onlinecite{GinPraFerAssSavTou-JCP-18}, we approximate $\bE{}{\Bas}[\n{}{}]$ using a specific class of short-range correlation functionals known as ECMD whose general definition reads \cite{TouGorSav-TCA-05} \begin{multline} \label{eq:ec_md_mu}