From fbea44ea732b938ec34ed6f95b9b7c16f874f33c Mon Sep 17 00:00:00 2001 From: Pierre-Francois Loos Date: Mon, 3 Feb 2020 16:30:00 +0100 Subject: [PATCH] conflicts --- BSE-PES.tex | 2 -- 1 file changed, 2 deletions(-) diff --git a/BSE-PES.tex b/BSE-PES.tex index 38b8f03..e4c2da5 100644 --- a/BSE-PES.tex +++ b/BSE-PES.tex @@ -347,7 +347,6 @@ In Eq.~\eqref{eq:W}, $\eta$ is a positive infinitesimal, and $\OmRPA{m}{\IS}$ a \begin{subequations} \label{eq:LR_RPA} \begin{align} - \label{eq:LR_RPA} \ARPA{ia,jb}{\IS} & = \delta_{ij} \delta_{ab} (\eHF{a} - \eHF{i}) + 2 \IS \ERI{ia}{jb}, \\ \BRPA{ia,jb}{\IS} & = 2 \IS \ERI{ia}{bj}, @@ -361,7 +360,6 @@ so that $W^{\lambda}$ reduces to the bare Coulomb potential. In that limit, t \begin{subequations} \label{eq:LR_RPAx} \begin{align} - \label{eq:LR_RPAx} \ARPAx{ia,jb}{\IS} & = \delta_{ij} \delta_{ab} (\eHF{a} - \eHF{i}) + \IS \qty[ 2 \ERI{ia}{jb} - \ERI{ij}{ab} ], \\ \BRPAx{ia,jb}{\IS} & = \IS \qty[ 2 \ERI{ia}{bj} - \ERI{ib}{aj} ].