Differences

This shows you the differences between two versions of the page.

--- meta:scratch [August 13, 2026 at 18:50] – Ivan Janevski
+++ meta:scratch [August 13, 2026 at 18:54] (current) – Ivan Janevski
@@ Line 1: / Line 1: @@
-\documentclass[tikz,border=5pt]{standalone}
+\documentclass{standalone}
-\usepackage{amsmath}
 \usepackage{tikz}
+\usepackage{mathtools}
 \usetikzlibrary{arrows.meta}
 \begin{document}
-\begin{tikzpicture}[
+\begin{tikzpicture}[line cap=round, line join=round, >=Triangle]
-    scale=2.6,
+  \clip(-2.19,-2.49) rectangle (2.66,2.58);
-    x={(-0.707cm,-0.707cm)},
+  \draw [shift={(0,0)}, lightgray, fill, fill opacity=0.1] (0,0) -- (56.7:0.4) arc (56.7:90.:0.4) -- cycle;
-    y={(1cm,0cm)},
+  \draw [shift={(0,0)}, lightgray, fill, fill opacity=0.1] (0,0) -- (-135.7:0.4) arc (-135.7:-33.2:0.4) -- cycle;
-    z={(0cm,1cm)},
+  \draw(0,0) circle (2cm);
-    >=Stealth
+  \draw [rotate around={0.:(0.,0.)},dash pattern=on 3pt off 3pt] (0,0) ellipse (2cm and 0.9cm);
-]
+  \draw (0,0)-- (0.70,1.07);
-    % Parameters
+  \draw [->] (0,0) -- (0,2);
-    \def\th{55}
+  \draw [->] (0,0) -- (-0.81,-0.79);
-    \def\ph{35}
+  \draw [->] (0,0) -- (2,0);
-    \pgfmathsetmacro{\px}{sin(\th)*cos(\ph)}
+  \draw [dotted] (0.7,1)-- (0.7,-0.46);
-    \pgfmathsetmacro{\py}{sin(\th)*sin(\ph)}
+  \draw [dotted] (0,0)-- (0.7,-0.46);
-    \pgfmathsetmacro{\pz}{cos(\th)}
+  \draw (-0.08,-0.3) node[anchor=north west] {$\varphi$};
-    \pgfmathsetmacro{\thmid}{0.55*\th}
+  \draw (0.01,0.9) node[anchor=north west] {$\theta$};
+  \draw (-1.01,-0.72) node[anchor=north west] {$\mathbf {\hat{x}}$};
-    % Sphere outline
+  \draw (2.07,0.3) node[anchor=north west] {$\mathbf {\hat{y}}$};
-    \draw[thick] (0,0) circle (1);
+  \draw (-0.5,2.6) node[anchor=north west] {$\mathbf {\hat{z}=|0\rangle}$};
+  \draw (-0.4,-2) node[anchor=north west] {$-\mathbf {\hat{z}=|1\rangle}$};
-    % Equator
+  \draw (0.4,1.65) node[anchor=north west] {$|\psi\rangle$};
-    \draw[dashed,smooth,samples=100,domain=180:360,variable=\t]
+  \scriptsize
-        plot ({cos(\t)},{sin(\t)},{0});
+  \draw [fill] (0,0) circle (1.5pt);
-    \draw[smooth,samples=100,domain=0:180,variable=\t]
+  \draw [fill] (0.7,1.1) circle (0.5pt);
-        plot ({cos(\t)},{sin(\t)},{0});
-    % Axes
-    \draw[->] (0,0,0) -- (1.25,0,0) node[below left] {$x$};
-    \draw[->] (0,0,0) -- (0,1.25,0) node[right] {$y$};
-    \draw[->] (0,0,0) -- (0,0,1.25) node[above] {$z,\ \lvert 0\rangle$};
-    \draw[->] (0,0,0) -- (0,0,-1.25) node[below] {$\lvert 1\rangle$};
-    % State vector
-    \draw[very thick,->] (0,0,0) -- (\px,\py,\pz);
-    \fill (\px,\py,\pz) circle (0.8pt);
-    \node at (\px,\py,\pz+0.12) {$\lvert\psi\rangle$};
-    % Projection onto xy-plane
-    \draw[dashed] (\px,\py,\pz) -- (\px,\py,0);
-    \draw[dashed] (0,0,0) -- (\px,\py,0);
-    % Phi arc
-    \draw[->,smooth,samples=100,domain=0:\ph,variable=\t]
-        plot ({0.28*cos(\t)},{0.28*sin(\t)},{0});
-    \node at ({0.36*cos(\ph/2)},{0.36*sin(\ph/2)},{0}) {$\phi$};
-    % Theta arc
-    \draw[->,smooth,samples=100,domain=0:\th,variable=\t]
-        plot ({0.38*sin(\t)*cos(\ph)},{0.38*sin(\t)*sin(\ph)},{0.38*cos(\t)});
-    \node at ({0.48*sin(\thmid)*cos(\ph)},{0.48*sin(\thmid)*sin(\ph)},{0.48*cos(\thmid)}) {$\theta$};
 \end{tikzpicture}
 \end{document}