Merge remote-tracking branch 'upstream/master'

3 files changed, 58 insertions, 1 deletions

diff --git a/buch/chapters/70-graphen/images/Makefile b/buch/chapters/70-graphen/images/Makefile
index b42cbae..bd77756 100644
--- a/buch/chapters/70-graphen/images/Makefile
+++ b/buch/chapters/70-graphen/images/Makefile
@@ -3,7 +3,7 @@
 #
 # (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
 #
-all:	peterson.pdf adjazenzu.pdf adjazenzd.pdf kreis.pdf
+all:	peterson.pdf adjazenzu.pdf adjazenzd.pdf kreis.pdf fundamental.pdf
 
 peterson.pdf:	peterson.tex
 	pdflatex peterson.tex
@@ -17,3 +17,6 @@ adjazenzd.pdf:	adjazenzd.tex
 kreis.pdf:	kreis.tex
 	pdflatex kreis.tex
 
+fundamental.pdf:	fundamental.tex
+	pdflatex fundamental.tex
+
diff --git a/buch/chapters/70-graphen/images/fundamental.pdf b/buch/chapters/70-graphen/images/fundamental.pdf
new file mode 100644
index 0000000..66b82ca
--- /dev/null
+++ b/buch/chapters/70-graphen/images/fundamental.pdf
diff --git a/buch/chapters/70-graphen/images/fundamental.tex b/buch/chapters/70-graphen/images/fundamental.tex
new file mode 100644
index 0000000..b7fe9c4
--- /dev/null
+++ b/buch/chapters/70-graphen/images/fundamental.tex
@@ -0,0 +1,54 @@
+%
+% fundamental.tex -- template for standalon tikz images
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math}
+\begin{document}
+\def\skala{1}
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\begin{scope}[xshift=-4.6cm]
+	\draw[color=red,line width=2pt] (1.8,0) -- (1.8,2);
+	\draw[color=red,line width=2pt] (0,0) -- (4,0);
+	\node at (1.8,0) [below] {$i$};
+	\draw[->] (-0.1,0) -- (4.3,0) coordinate[label={$x$}];
+	\draw[->] (0,-2.1) -- (0,2.3) coordinate[label={right:$y$}];
+
+	\node at (2,-2.3) [below] {Standarbasis};
+\end{scope}
+
+\begin{scope}
+	\draw[color=red,line width=1.4pt] 
+		plot[domain=0:360,samples=100] ({\x/90},{2*sin(\x)});
+	\draw[color=blue,line width=1.4pt] 
+		plot[domain=0:360,samples=100] ({\x/90},{2*cos(\x)});
+	\node[color=blue] at (1,-1) {$\Re f_i$};
+	\node[color=red] at (2,1) {$\Im f_i$};
+	\draw[->] (-0.1,0) -- (4.3,0) coordinate[label={$x$}];
+	\draw[->] (0,-2.1) -- (0,2.3) coordinate[label={right:$y$}];
+	\node at (2,-2.3) [below] {Eigenbasis};
+\end{scope}
+
+\begin{scope}[xshift=4.6cm]
+	\foreach \t in {0.02,0.05,0.1,0.2,0.5}{
+		\draw[color=red,line width=1.0pt]
+			plot[domain=-1.8:2.2,samples=100]
+				({\x+1.8},{exp(-\x*\x/(4*\t))/(sqrt(4*3.1415*\t))});
+	}
+	\fill[color=red] (1.8,0) circle[radius=0.08];
+	\node at (1.8,0) [below] {$\xi$};
+	\draw[->] (-0.1,0) -- (4.3,0) coordinate[label={$x$}];
+	\draw[->] (0,-2.1) -- (0,2.3) coordinate[label={right:$y$}];
+	\node at (2,-2.3) [below] {Fundamentallösung};
+\end{scope}
+
+\end{tikzpicture}
+\end{document}
+