Create intro slide

2 files changed, 73 insertions, 6 deletions

diff --git a/vorlesungen/punktgruppen/slides.pdf b/vorlesungen/punktgruppen/slides.pdf
index d732296..bd7afc9 100644
--- a/vorlesungen/punktgruppen/slides.pdf
+++ b/vorlesungen/punktgruppen/slides.pdf
diff --git a/vorlesungen/punktgruppen/slides.tex b/vorlesungen/punktgruppen/slides.tex
index 380dcec..25761c0 100644
--- a/vorlesungen/punktgruppen/slides.tex
+++ b/vorlesungen/punktgruppen/slides.tex
@@ -7,6 +7,7 @@
 % pretty drawings
 \usepackage{tikz}
 \usetikzlibrary{positioning}
+\usetikzlibrary{arrows.meta}
 
 % Theme
 \beamertemplatenavigationsymbolsempty
@@ -64,17 +65,82 @@
 
 \section{Einleitung}
 \frame{
-  \[
-    \psi
-  \]
+  \begin{itemize}
+    \item Was heisst \emph{Symmetrie} in der Mathematik?
+    \item Wie kann ein Kristall modelliert werden?
+    \item Aus der Physik: Piezoelektrizit\"at
+  \end{itemize}
+  \begin{center}
+    \begin{tikzpicture}
+      \begin{scope}[
+          node distance = 0cm
+        ]
+        \node[
+          rectangle, fill = gray!40!background,
+          minimum width = 3cm, minimum height = 2cm,
+        ] (body) {\(\vec{E}_p = \vec{0}\)};
+
+        \node[
+          draw, rectangle, thick, white, fill = red!50,
+          minimum width = 3cm, minimum height = 1mm,
+          above = of body
+        ] (pos) {};
+
+        \node[
+          draw, rectangle, thick, white, fill = blue!50,
+          minimum width = 3cm, minimum height = 1mm,
+          below = of body
+        ] (neg) {};
+
+        \draw[white, very thick, -Circle] (pos.east) to ++ (1,0) node (p) {};
+        \draw[white, very thick, -Circle] (neg.east) to ++ (1,0) node (n) {};
+
+        \draw[white, thick, ->] (p) to[out = -80, in = 80] node[midway, right] {\(U = 0\)} (n);
+      \end{scope}
+      \begin{scope}[
+          node distance = 0cm,
+          xshift = 7cm
+        ]
+        \node[
+          rectangle, fill = gray!40!background,
+          minimum width = 3cm, minimum height = 1.5cm,
+        ] (body) {\(\vec{E}_p = \vec{0}\)};
+
+        \node[
+          draw, rectangle, thick, white, fill = red!50,
+          minimum width = 3cm, minimum height = 1mm,
+          above = of body
+        ] (pos) {};
+
+        \node[
+          draw, rectangle, thick, white, fill = blue!50,
+          minimum width = 3cm, minimum height = 1mm,
+          below = of body
+        ] (neg) {};
+
+        \draw[orange, very thick, <-] (pos.north) to node[near end, right] {\(\vec{F}\)} ++(0,1);
+        \draw[orange, very thick, <-] (neg.south) to node[near end, right] {\(\vec{F}\)} ++(0,-1);
+
+        \draw[white, very thick, -Circle] (pos.east) to ++ (1,0) node (p) {};
+        \draw[white, very thick, -Circle] (neg.east) to ++ (1,0) node (n) {};
+
+        \draw[white, thick, ->] (p) to[out = -80, in = 80] node[midway, right] {\(U \neq 0\)} (n);
+      \end{scope}
+    \end{tikzpicture}
+  \end{center}
 }
 
-\section{Geometrische Symmetrien}
+\section{2D Symmetrien}
 %% Made in video
 
 \section{Algebraische Symmetrien}
 %% Made in video
 
+\section{3D Symmetrien}
+%% Made in video
+
+\section{Matrizen}
+
 \section{Kristalle}
 
 \section{Anwendungen}
@@ -201,6 +267,7 @@
 \end{frame}
 
 \frame{
+  \frametitle{Licht in Kristallen}
   \begin{columns}[T]
     \begin{column}{.5\textwidth}
       Symmetriegruppe und Darstellung
@@ -226,10 +293,10 @@
       \]
       Anisotropisch Dielektrikum
       \[
-        \ten{R}\ten{\varepsilon}\vec{E} = \frac{\omega^2}{\mu k^2} \vec{E}
+        (\ten{K}\ten{\varepsilon})\vec{E} = \frac{\omega^2}{\mu k^2} \vec{E}
       \]
       \[
-        \vec{E} \in U_\lambda \implies (\ten{R}\ten{\varepsilon}) \vec{E} = \lambda \vec{E}
+        \vec{E} \in U_\lambda \implies (\ten{K}\ten{\varepsilon}) \vec{E} = \lambda \vec{E}
       \]
       \"Ahenlich auch in der Mechanik
       \[