diff --git a/pdf/spin.pdf b/pdf/spin.pdf new file mode 100755 index 0000000..ac69d76 Binary files /dev/null and b/pdf/spin.pdf differ diff --git a/spin.tex b/spin.tex new file mode 100755 index 0000000..2a2c42c --- /dev/null +++ b/spin.tex @@ -0,0 +1,172 @@ +\documentclass{standalone} +% +\usepackage{tikz} +\usetikzlibrary{backgrounds} +\usetikzlibrary{plotmarks} +\usetikzlibrary{bending,arrows.meta,snakes,shapes} +\usepackage{pgfplots} +\pgfplotsset{compat=newest} +\usepackage{xcolor} +\usepackage{tkz-euclide} +\usetkzobj{all} +% +\definecolor{space}{HTML}{0A2543} +\definecolor{earth}{HTML}{0089FA} +\definecolor{moon}{HTML}{AFAFAF} +% +\usepackage{mathptmx} +\usepackage{fontspec} +% +\setmainfont{Montserrat} + +\title{Spin} +\begin{document} + \tikzset{ + declare function={f(\x)=sin(540*\x);} + } + \begin{tikzpicture}[>={[inset=0,angle'=27]Stealth},background rectangle/.style={fill=space},show background rectangle] + % + \begin{scope}[xscale=4,yscale=1.2] + %asse z + \tkzDefPoint(0,-15){Z1} \tkzDefPoint(0,15){Z2} + \tkzDrawSegment[->,ultra thick,color=white](Z1,Z2) + \node [right] at (Z2) {\textcolor{white}{\fontsize{24}{25}\selectfont \emph{S}}}; + \node [right,shift={(0.5,-0.4)}] at (Z2) {\textcolor{white}{\fontsize{13}{14}\selectfont \emph{z}}}; + %asse y + \tkzDefPoint(-5,-2){Y1} \tkzDefPoint(5,2){Y2} + \tkzDrawSegment[->,ultra thick,color=white](Y1,Y2) + \node [right] at (Y2) {\textcolor{white}{\fontsize{24}{25}\selectfont \emph{S}}}; + \node [right,shift={(0.5,-0.4)}] at (Y2) {\textcolor{white}{\fontsize{13}{14}\selectfont \emph{y}}}; + %asse x + \tkzDefPoint(-5,2){X1} \tkzDefPoint(5,-2){X2} + \tkzDrawSegment[->,ultra thick,color=white](X1,X2) + \node [right] at (X2) {\textcolor{white}{\fontsize{24}{25}\selectfont \emph{S}}}; + \node [right,shift={(0.5,-0.4)}] at (X2) {\textcolor{white}{\fontsize{13}{14}\selectfont \emph{x}}}; + %ellisse superiore + \tkzDefPoint(0,10){C} + \tkzDefPoint(3,10){A} + \tkzDrawCircle[fill=earth,color=earth,opacity=0.5](C,A) + %centro + \tkzDefPoint(0,0){V} + %ellisse centrale + \tkzDefPointBy[rotation= center C angle -60](A) \tkzGetPoint{s} + % + \tkzDefLine[parallel=through s](V,C) \tkzGetPoint{s'} + \tkzInterLL(s,s')(X1,X2) \tkzGetPoint{s1} + \tkzInterLL(s,s')(Y1,Y2) \tkzGetPoint{s2} + \tkzDrawCircle[fill=earth,color=earth,opacity=0.5](V,s1) + % + \tkzTangent[from=V](C,A) \tkzGetPoints{a}{b} + \tkzDrawLines[color=white](V,a V,b) + %ellisse inferiore + \tkzDefPoint(0,-10){C1} + \tkzDefPoint(3,-10){A1} + \tkzDrawCircle[fill=earth,color=earth,opacity=0.5](C1,A1) + \tkzTangent[from=V](C1,A1) \tkzGetPoints{a1}{b1} + \tkzDrawLines[color=white](V,a1 V,b1) + % + \tkzDrawSegment[->,ultra thick,color=red](V,C) + \node [left] at (C) {\textcolor{white}{\fontsize{24}{25}\selectfont +\emph{ħ}/2}}; + \draw (-0.05,-10) -- (0.05,-10); + \node [left] at (C1) {\textcolor{white}{\fontsize{24}{25}\selectfont -\emph{ħ}/2}}; + % + \tkzDrawSegment[->,ultra thick,color=moon](V,s) + \node [left, above] at (s) {\textcolor{white}{\fontsize{24}{25}\selectfont S}}; + %spin x e y + \tkzDrawSegment[->,ultra thick,color=red](V,s1) + \tkzDrawSegment[->,ultra thick,color=red](V,s2) + \end{scope} + % + \begin{scope}[rotate around={-30:(0,0)}] + \begin{scope}[xscale=4,yscale=4] + \tkzDefPoint(0,4.8){v1} + \tkzDefPoint(0,5.6){v2} + \tkzDrawSegment[->,ultra thick, color=white](v1,v2) + \tkzDefPoint(0,5.2){C'} + \tkzDefPoint(0.25,5.2){A'} + \tkzDrawCircle[fill=earth,color=earth,opacity=0.5](C',A') + \end{scope} + % + \begin{scope}[xscale=4,yscale=1.2,shift={(0,12)}] + \tikzset{compass style/.append style={->}} + \tkzDefPoint(0,5.2){C''} + \tkzDefPoint(0.3,5.2){A''} + \tkzDefPoint(-0.3,5.2){B''} + \tkzDrawArc[color=white,ultra thick](C'',B'')(A'') + \end{scope} + \end{scope} + %destra + \begin{scope}[shift={(50,0)}] + \begin{scope}[xscale=4,yscale=1.2] + %asse z + \tkzDefPoint(0,-15){Z1} \tkzDefPoint(0,15){Z2} + \tkzDrawSegment[->,ultra thick,color=white](Z1,Z2) + \node [right] at (Z2) {\textcolor{white}{\fontsize{24}{25}\selectfont \emph{S}}}; + \node [right,shift={(0.5,-0.4)}] at (Z2) {\textcolor{white}{\fontsize{13}{14}\selectfont \emph{z}}}; + %asse y + \tkzDefPoint(-5,-2){Y1} \tkzDefPoint(5,2){Y2} + \tkzDrawSegment[->,ultra thick,color=white](Y1,Y2) + \node [right] at (Y2) {\textcolor{white}{\fontsize{24}{25}\selectfont \emph{S}}}; + \node [right,shift={(0.5,-0.4)}] at (Y2) {\textcolor{white}{\fontsize{13}{14}\selectfont \emph{y}}}; + %asse x + \tkzDefPoint(-5,2){X1} \tkzDefPoint(5,-2){X2} + \tkzDrawSegment[->,ultra thick,color=white](X1,X2) + \node [right] at (X2) {\textcolor{white}{\fontsize{24}{25}\selectfont \emph{S}}}; + \node [right,shift={(0.5,-0.4)}] at (X2) {\textcolor{white}{\fontsize{13}{14}\selectfont \emph{x}}}; + %ellisse superiore + \tkzDefPoint(0,10){C} + \tkzDefPoint(3,10){A} + \tkzDrawCircle[fill=earth,color=earth,opacity=0.5](C,A) + %centro + \tkzDefPoint(0,0){V} + %ellisse inferiore + \tkzDefPoint(0,-10){C1} + \tkzDefPoint(3,-10){A1} + \tkzDrawCircle[fill=earth,color=earth,opacity=0.5](C1,A1) + \tkzTangent[from=V](C1,A1) \tkzGetPoints{a1}{b1} + \tkzDrawLines[color=white](V,a1 V,b1) + %ellisse centrale + \tkzDefPointBy[rotation= center C1 angle -120](A1) \tkzGetPoint{s} + % + \tkzDefLine[parallel=through s](V,C) \tkzGetPoint{s'} + \tkzInterLL(s,s')(X1,X2) \tkzGetPoint{s1} + \tkzInterLL(s,s')(Y1,Y2) \tkzGetPoint{s2} + \tkzDrawCircle[fill=earth,color=earth,opacity=0.5](V,s1) + % + \tkzTangent[from=V](C,A) \tkzGetPoints{a}{b} + \tkzDrawLines[color=white](V,a V,b) + % + \tkzDrawSegment[->,ultra thick,color=red](V,C1) + \node [left] at (C1) {\textcolor{white}{\fontsize{24}{25}\selectfont -\emph{ħ}/2}}; + \draw (-0.05,10) -- (0.05,10); + \node [left] at (C) {\textcolor{white}{\fontsize{24}{25}\selectfont +\emph{ħ}/2}}; + % + \tkzDrawSegment[->,ultra thick,color=moon](V,s) + \node [left, below] at (s) {\textcolor{white}{\fontsize{24}{25}\selectfont -S}}; + %spin x e y + \tkzDrawSegment[->,ultra thick,color=red](V,s1) + \tkzDrawSegment[->,ultra thick,color=red](V,s2) + \end{scope} + % + \begin{scope}[rotate around={158:(0,0)}] + \begin{scope}[xscale=4,yscale=4] + \tkzDefPoint(0,4.8){v1} + \tkzDefPoint(0,5.6){v2} + \tkzDrawSegment[->,ultra thick, color=white](v1,v2) + \tkzDefPoint(0,5.2){C'} + \tkzDefPoint(0.25,5.2){A'} + \tkzDrawCircle[fill=earth,color=earth,opacity=0.5](C',A') + \end{scope} + % + \begin{scope}[xscale=4,yscale=1.2,shift={(0,12)}] + \tikzset{compass style/.append style={->}} + \tkzDefPoint(0,5.2){C''} + \tkzDefPoint(0.3,5.2){A''} + \tkzDefPoint(-0.3,5.2){B''} + \tkzDrawArc[color=white,ultra thick](C'',B'')(A'') + \end{scope} + \end{scope} + \end{scope} + \end{tikzpicture} +% +\end{document} \ No newline at end of file