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author | Andreas Müller <andreas.mueller@othello.ch> | 2021-04-02 21:43:03 +0200 |
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committer | Andreas Müller <andreas.mueller@othello.ch> | 2021-04-02 21:43:03 +0200 |
commit | ea9c6380f729ddd512fa59c2d0b67cc7cc8ab56c (patch) | |
tree | fa43247a552c1cde0d7bd8959b953dc308fecf87 /buch/chapters/60-gruppen/images | |
parent | add new images (diff) | |
download | SeminarMatrizen-ea9c6380f729ddd512fa59c2d0b67cc7cc8ab56c.tar.gz SeminarMatrizen-ea9c6380f729ddd512fa59c2d0b67cc7cc8ab56c.zip |
kontinuierliche Symmetrien
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-rw-r--r-- | buch/chapters/60-gruppen/images/phasenraum.pdf | bin | 0 -> 24581 bytes | |||
-rw-r--r-- | buch/chapters/60-gruppen/images/phasenraum.tex | 45 |
2 files changed, 45 insertions, 0 deletions
diff --git a/buch/chapters/60-gruppen/images/phasenraum.pdf b/buch/chapters/60-gruppen/images/phasenraum.pdf Binary files differnew file mode 100644 index 0000000..2ab46e4 --- /dev/null +++ b/buch/chapters/60-gruppen/images/phasenraum.pdf 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} + |