From 159f5d0759fdff7df22406190292296f3ffb0a74 Mon Sep 17 00:00:00 2001
From: Pierre-Francois Loos <pierrefrancois.loos@gmail.com>
Date: Tue, 8 Jun 2021 21:19:11 +0200
Subject: [PATCH] Lecture 2 done

---
 2021/Lecture_2/ISTPC_Loos_2.tex | 7 ++++---
 1 file changed, 4 insertions(+), 3 deletions(-)

diff --git a/2021/Lecture_2/ISTPC_Loos_2.tex b/2021/Lecture_2/ISTPC_Loos_2.tex
index c2e0c87..f8b806e 100644
--- a/2021/Lecture_2/ISTPC_Loos_2.tex
+++ b/2021/Lecture_2/ISTPC_Loos_2.tex
@@ -314,6 +314,7 @@ decoration={snake,
 			\item $i,j,k,l$ are \green{occupied orbitals}
 			\item $a,b,c,d$ are \alert{vacant orbitals}
 			\item $p,q,r,s$ are \violet{arbitrary (occupied or vacant) orbitals}
+			\item $\mu,\nu,\lambda,\sigma$ are \purple{basis function indexes}
 			\bigskip
 			\item $m$ indexes \purple{the $OV$ single excitations} ($i \to a$)
 		\end{itemize}
@@ -529,15 +530,15 @@ decoration={snake,
 	\end{block}
 	\begin{block}{Polarizability}
 		\begin{equation}
-			P(\br_1,\br_2;\omega) = - \frac{i}{\pi} \int \blue{G}(\br_1,\br_2;\omega+\omega') \blue{G}(\br_1,\br_2;\omega') d\omega'
+			P(\br_1,\br_2;\yo) = - \frac{i}{\pi} \int \blue{G}(\br_1,\br_2;\yo+\omega') \blue{G}(\br_1,\br_2;\omega') d\omega'
 		\end{equation}
 	\end{block}
 	\begin{block}{Dielectric function and dynamically-screened Coulomb potential}
 		\begin{equation}
-			\epsilon(\br_1,\br_2;\omega) = \delta(\br_1 - \br_2) - \int \frac{P(\br_1,\br_3;\omega) }{\abs{\br_2 - \br_3}} d\br_3
+			\epsilon(\br_1,\br_2;\yo) = \delta(\br_1 - \br_2) - \int \frac{P(\br_1,\br_3;\yo) }{\abs{\br_2 - \br_3}} d\br_3
 		\end{equation}
 		\begin{equation}
-			\highlight{W}(\br_1,\br_2;\omega) =  \int \frac{\epsilon^{-1}(\br_1,\br_3;\omega) }{\abs{\br_2 - \br_3}} d\br_3
+			\highlight{W}(\br_1,\br_2;\yo) =  \int \frac{\epsilon^{-1}(\br_1,\br_3;\yo) }{\abs{\br_2 - \br_3}} d\br_3
 		\end{equation}
 	\end{block}
 \end{frame}