From 29e346772e21880a61f828f4f1d47c44d8421525 Mon Sep 17 00:00:00 2001
From: Pierre-Francois Loos <pierrefrancois.loos@gmail.com>
Date: Wed, 9 Jun 2021 09:01:13 +0200
Subject: [PATCH] final versions for 2021

---
 2021/Lecture_2/ISTPC_Loos_2.tex | 14 +++++++-------
 1 file changed, 7 insertions(+), 7 deletions(-)

diff --git a/2021/Lecture_2/ISTPC_Loos_2.tex b/2021/Lecture_2/ISTPC_Loos_2.tex
index f8b806e..5066c43 100644
--- a/2021/Lecture_2/ISTPC_Loos_2.tex
+++ b/2021/Lecture_2/ISTPC_Loos_2.tex
@@ -550,7 +550,7 @@ decoration={snake,
 		\begin{equation}
 		\begin{split}
 			\highlight{W}_{pq,rs}(\yo) 
-			& = \iint \MO{p}(\br_1) \MO{q}(\br_1) \highlight{W}_{pq,rs}(\br_1,\br_2;\yo) \MO{r}(\br_2) \MO{s}(\br_2) d\br_1 d\br_2
+			& = \iint \MO{p}(\br_1) \MO{q}(\br_1) \highlight{W}(\br_1,\br_2;\yo) \MO{r}(\br_2) \MO{s}(\br_2) d\br_1 d\br_2
 			\\
 			& = \underbrace{\ERI{pq}{rs}}_{\text{(static) exchange part}}
 			+ \underbrace{2 \sum_m \violet{\ERI{pq}{m}} \violet{\ERI{rs}{m}}
@@ -585,7 +585,7 @@ decoration={snake,
 				\orange{\bY{m}{\RPA}}	\\
 			\end{pmatrix}
 			=
-			\orange{\Om{m}{}}
+			\orange{\Om{m}{\RPA}}
 			\begin{pmatrix}
 				\orange{\bX{m}{\RPA}}	\\
 				\orange{\bY{m}{\RPA}}	\\
@@ -609,7 +609,7 @@ decoration={snake,
 	\end{block}
 	\begin{block}{Tamm-Dancoff approximation (TDA)}
 		\begin{equation}
-			\bB{}{} = \bO \quad \Rightarrow \quad \bA{}{} \cdot \bX{m}{} = \Om{m}{\TDA} \bX{m}{}
+			\bB{}{} = \bO \quad \Rightarrow \quad \bA{}{} \cdot \orange{\bX{m}{}} = \orange{\Om{m}{\TDA} \bX{m}{}}
 		\end{equation}
 	\end{block}
 \end{frame}
@@ -1013,7 +1013,7 @@ decoration={snake,
 		    \boxed{\begin{pmatrix}
 				\red{\bA{}{}} & \orange{\bB{}{}}  
 				\\
-				\orange{-\bA{}{}}  & \red{-\bB{}{}}
+				\orange{-\bB{}{}}  & \red{-\bA{}{}}
 			\end{pmatrix}
 			\cdot
 		    \begin{pmatrix}
@@ -1109,7 +1109,7 @@ decoration={snake,
 		    \boxed{\begin{pmatrix}
 				\red{\bA{}{}} & \orange{\bB{}{}}  
 				\\
-				\orange{-\bA{}{}}  & \red{-\bB{}{}}
+				\orange{-\bB{}{}}  & \red{-\bA{}{}}
 			\end{pmatrix}
 			\cdot
 		    \begin{pmatrix}
@@ -1339,9 +1339,9 @@ decoration={snake,
 				\btB{}{}  & \btA{}{}
 			\end{pmatrix}
 			\qquad
-			\tA{ia,jb}{} =  2\la\ERI{ia}{bj}
+			\tA{ia,jb}{} =  2\ERI{ia}{bj}
 			\qquad
-			\tB{ia,jb}{} =  2\la\ERI{ia}{jb}
+			\tB{ia,jb}{} =  2\ERI{ia}{jb}
 		\end{equation}
 	\end{block}
 	\begin{block}{Correlation part of the two-particle density matrix}