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| -rw-r--r-- | buch/papers/kra/images/phase_space.tex | 67 |
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diff --git a/buch/papers/kra/images/phase_space.tex b/buch/papers/kra/images/phase_space.tex new file mode 100644 index 0000000..cd51ea4 --- /dev/null +++ b/buch/papers/kra/images/phase_space.tex @@ -0,0 +1,67 @@ +\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}
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