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authorsamuel niederer <samuel.niederer@ost.ch>2022-06-01 13:34:26 +0200
committersamuel niederer <samuel.niederer@ost.ch>2022-06-01 13:34:26 +0200
commit052ccbe27e19d53ac7272bf29c9c16e071d7059b (patch)
tree7a0736690027a3e4a57601fd881790633fef3884 /buch/papers
parentadd drawing (diff)
downloadSeminarSpezielleFunktionen-052ccbe27e19d53ac7272bf29c9c16e071d7059b.tar.gz
SeminarSpezielleFunktionen-052ccbe27e19d53ac7272bf29c9c16e071d7059b.zip
add phase space plot
Diffstat (limited to 'buch/papers')
-rw-r--r--buch/papers/kra/images/phase_space.tex67
1 files changed, 67 insertions, 0 deletions
diff --git a/buch/papers/kra/images/phase_space.tex b/buch/papers/kra/images/phase_space.tex
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+++ b/buch/papers/kra/images/phase_space.tex
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+\colorlet{mypurple}{red!50!blue!90!black!80}
+
+% style to create arrows
+\tikzset{
+ traj/.style 2 args={thick, postaction={decorate},decoration={markings,
+ mark=at position #1 with {\arrow{<}},
+ mark=at position #2 with {\arrow{<}}}
+ }
+}
+
+\begin{tikzpicture}[scale=0.6]
+ % p(t=0) = 0, q(t=0) = A, max(p) = mwA
+ \tikzmath{
+ \axh = 5.2;
+ \axw1 = 4.2;
+ \axw2 = 4.8;
+ \d1 = 0.9;
+ \a0 = 1;
+ \b0 = 2;
+ \a1 = \a0 + \d1;
+ \b1 = \b0 + \d1;
+ \a2 = \a1 + \d1;
+ \b2 = \b1 + \d1;
+ \a3 = \a2 + \d1;
+ \b3 = \b2 + \d1;
+ \d2 = 0.75;
+ \aa0 = 2;
+ \bb0 = 1;
+ \aa1 = \aa0 + \d2;
+ \bb1 = \bb0 + \d2;
+ \aa2 = \aa1 + \d2;
+ \bb2 = \bb1 + \d2;
+ \aa3 = \aa2 + \d2;
+ \bb3 = \bb2 + \d2;
+ }
+
+ \draw[->,thick] (-\axw1,0) -- (\axw1,0) node[right] {$q$};
+ \draw[->,thick] (0,-\axh) -- (0,\axh) node[above] {$p$};
+
+ \draw[traj={0.375}{0.875},darkgreen] ellipse (\a0 and \b0);
+ \draw[traj={0.375}{0.875},blue] ellipse (\a1 and \b1);
+ \draw[traj={0.375}{0.875},cyan] ellipse (\a2 and \b2);
+ \draw[traj={0.375}{0.875},mypurple] ellipse (\a3 and \b3);
+
+ \node[right,darkgreen] at (45:{\a0} and {\b0}) {$E_A$};
+ \node[right, blue] at (45:{\a1} and {\b1}) {$E_B$};
+ \node[right, cyan] at (45:{\a2} and {\b2}) {$E_C$};
+ \node[right, mypurple] at (45:{\a3} and {\b3}) {$E_D$};
+ \node[above left] at (110:\b3 + 0.1) {grosses $\omega$};
+
+ \begin{scope}[xshift=12cm]
+ \draw[->,thick] (-\axw2,0) -- (\axw2,0) node[right] {$q$};
+ \draw[->,thick] (0,-\axh) -- (0,\axh) node[above] {$p$};
+
+ \draw[traj={0.375}{0.875},darkgreen] ellipse (\aa0 and \bb0);
+ \draw[traj={0.375}{0.875},blue] ellipse (\aa1 and \bb1);
+ \draw[traj={0.375}{0.875},cyan] ellipse (\aa2 and \bb2);
+ \draw[traj={0.375}{0.875},mypurple] ellipse (\aa3 and \bb3);
+
+ \node[above, darkgreen] at (45:{\aa0} and {\bb0}) {$E_A$};
+ \node[above, blue] at (45:{\aa1} and {\bb1}) {$E_B$};
+ \node[above, cyan] at (45:{\aa2} and {\bb2}) {$E_C$};
+ \node[above, mypurple] at (45:{\aa3} and {\bb3}) {$E_D$};
+
+ \node[above left] at (110:\b3 + 0.1) {kleines $\omega$};
+ \end{scope}
+\end{tikzpicture} \ No newline at end of file