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authorPatrik Müller <patrik.mueller@ost.ch>2022-04-06 08:00:09 +0200
committerPatrik Müller <patrik.mueller@ost.ch>2022-04-06 08:00:09 +0200
commit670555039265d83945b0d3e205aefb020425585b (patch)
tree21038cb909c97aff834de131cf0a8c5e276cb756 /buch/papers/laguerre/images
parentadd notes for MSE session 4 (diff)
downloadSeminarSpezielleFunktionen-670555039265d83945b0d3e205aefb020425585b.tar.gz
SeminarSpezielleFunktionen-670555039265d83945b0d3e205aefb020425585b.zip
Start definition.tex
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-rw-r--r--buch/papers/laguerre/images/wasserstoff_model.tex58
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diff --git a/buch/papers/laguerre/images/wasserstoff_model.tex b/buch/papers/laguerre/images/wasserstoff_model.tex
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+\documentclass{standalone}
+
+\usepackage{pgfplots}
+\usepackage{tikz-3dplot}
+
+\tdplotsetmaincoords{60}{115}
+\pgfplotsset{compat=newest}
+
+\begin{document}
+
+\newcommand{\drawcircle}[4]{
+\shade[ball color=#3, opacity=#4] (#1) circle (#2 cm);
+\tdplotsetrotatedcoords{0}{0}{0};
+\draw[dashed, tdplot_rotated_coords, #3!40!black] (#1) circle (#2);
+}
+
+\begin{tikzpicture}[tdplot_main_coords, scale = 2]
+\def\r{1.0}
+\def\rp{0.2}
+\def\rn{0.05}
+\def\rvec{1.0}
+\def\thetavec{45}
+\def\phivec{60}
+
+\coordinate (O) at (0, 0, 0);
+\tdplotsetcoord{P}{\rvec}{\thetavec}{\phivec}
+
+% Labels
+\node[inner sep=1pt] at (0, -4.0*\rp, 1.0*\r) (plabel){Proton};
+\draw (plabel) -- (O);
+\node[inner sep=1pt] at (-0.*\r, 1.0*\r, 1.3*\r) (elabel){Elektron};
+\draw (elabel) -- (P);
+% Draw proton
+\drawcircle{O}{\rp}{red}{1.0}
+
+% Draw spherical coordinates of electron
+\draw (O) -- node[anchor=north west, yshift=4pt]{$r$} (P);
+\draw[dashed] (O) -- (Pxy);
+\draw[dashed] (P) -- (Pxy);
+\tdplotdrawarc{(O)}{0.6}{0}{\phivec}{anchor=north}{$\varphi$}
+\tdplotsetthetaplanecoords{\phivec}
+\tdplotdrawarc[tdplot_rotated_coords]{(0,0,0)}{0.5}{0}%
+{\thetavec}{anchor=south west, xshift=-2pt, yshift=-2pt}{$\vartheta$}
+
+% Draw electron
+\drawcircle{P}{\rn}{blue}{1.0}
+
+% Draw surrounding sphere
+\drawcircle{O}{\r}{gray}{0.3}
+
+% Draw cartesian coordinate system
+\draw[-stealth, thick] (O) -- (1.8*\r,0,0) node[below left] {$x$};
+\draw[-stealth, thick] (O) -- (0,1.3*\r,0) node[below right] {$y$};
+\draw[-stealth, thick] (O) -- (0,0,1.3*\r) node[above] {$z$};
+
+\end{tikzpicture}
+
+\end{document} \ No newline at end of file