From ea9c6380f729ddd512fa59c2d0b67cc7cc8ab56c Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@othello.ch>
Date: Fri, 2 Apr 2021 21:43:03 +0200
Subject: kontinuierliche Symmetrien

---
 buch/chapters/60-gruppen/images/phasenraum.pdf | Bin 0 -> 24581 bytes
 buch/chapters/60-gruppen/images/phasenraum.tex |  45 +++++++++++++++++++++++++
 2 files changed, 45 insertions(+)
 create mode 100644 buch/chapters/60-gruppen/images/phasenraum.pdf
 create mode 100644 buch/chapters/60-gruppen/images/phasenraum.tex

(limited to 'buch/chapters/60-gruppen/images')

diff --git a/buch/chapters/60-gruppen/images/phasenraum.pdf b/buch/chapters/60-gruppen/images/phasenraum.pdf
new file mode 100644
index 0000000..2ab46e4
Binary files /dev/null and b/buch/chapters/60-gruppen/images/phasenraum.pdf differ
diff --git a/buch/chapters/60-gruppen/images/phasenraum.tex b/buch/chapters/60-gruppen/images/phasenraum.tex
new file mode 100644
index 0000000..136d91d
--- /dev/null
+++ b/buch/chapters/60-gruppen/images/phasenraum.tex
@@ -0,0 +1,45 @@
+%
+% phasenraum.tex -- 
+%
+% (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]
+
+\pgfmathparse{1/sqrt(2)}
+\xdef\o{\pgfmathresult}
+
+\def\punkt#1#2{ ({#2*cos(#1)},{\o*#2*sin(#1)}) }
+
+\foreach \r in {1,2,...,6}{
+	\draw[line width=0.5pt]
+		plot[domain=0:359,samples=360]
+			({\r*cos(\x)},{\o*\r*sin(\x)}) -- cycle;
+}
+\draw[color=red,line width=1.4pt]
+	plot[domain=0:359,samples=360]
+		({4*cos(\x)},{\o*4*sin(\x)}) -- cycle;
+
+\draw[->] (-6.1,0) -- (6.3,0) coordinate[label={$x$}];
+\draw[->] (0,-4.4) -- (0,4.7) coordinate[label={right:$p$}];
+
+\node at \punkt{0}{4} [below right] {$x_0$};
+\node at \punkt{90}{4} [above left] {$\omega x_0$};
+
+\fill[color=white] \punkt{60}{4} rectangle \punkt{58}{5.9};
+
+\fill[color=red] \punkt{60}{4} circle[radius=0.08];
+\node[color=red] at \punkt{60}{4} [above right]
+	{$\begin{pmatrix}x(t)\\p(t)\end{pmatrix}$};
+
+\end{tikzpicture}
+\end{document}
+
-- 
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