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minor corrections in theory section

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Pierre-Francois Loos 2019-10-22 22:52:54 +02:00
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Manuscript/GW-srDFT.tex
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@ -359,7 +359,7 @@ The screened two-electron integrals
\end{equation} \end{equation}
are obtained via the contraction of the bare two-electron integrals \cite{Gill_1994} are obtained via the contraction of the bare two-electron integrals \cite{Gill_1994}
\begin{equation} \begin{equation}
(pq|rs) = \iint \MO{p}(\br{1}) \MO{q}(\br{1}) \frac{1}{r_{12}} \MO{r}(\br{2}) \MO{s}(\br{2}) \dbr{1} \dbr{2}, (pq|rs) = \iint \frac{\MO{p}(\br{}) \MO{q}(\br{}) \MO{r}(\br{}') \MO{s}(\br{}')}{\abs*{\br{} - \br{}'}} \dbr{} \dbr{}',
\end{equation} \end{equation}
and the transition densities $(\bX+\bY)_{ia}^{m}$ originating from a (direct) random phase approximation (RPA) calculation \cite{Casida_1995, Dreuw_2005} and the transition densities $(\bX+\bY)_{ia}^{m}$ originating from a (direct) random phase approximation (RPA) calculation \cite{Casida_1995, Dreuw_2005}
\begin{equation} \begin{equation}