記法テスト

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Schrödinger 方程式

Schrödinger 描像の状態ベクトル \(|ψ(t)⟩\) の時間発展を記述する式は,

\[i \hbar \pdv{}{t} |ψ(t)⟩ = H |ψ(t)⟩.\]
:::screen

### Schrödinger 方程式

Schrödinger 描像の状態ベクトル $|ψ(t)⟩$ の時間発展を記述する式は,
$$
i \hbar \pdv{}{t} |ψ(t)⟩ = H |ψ(t)⟩.
$$

:::

TikZJax

TThe TikZ and PGF Packages

12345
```tikz
\begin{tikzpicture}
\def \n {5}
\def \radius {3cm}
\def \margin {8} % margin in angles, depends on the radius

\foreach \s in {1,...,\n}
{
  \node[draw, circle] at ({360/\n * (\s - 1)}:\radius) {$\s$};
  \draw[->, >=latex] ({360/\n * (\s - 1)+\margin}:\radius)
    arc ({360/\n * (\s - 1)+\margin}:{360/\n * (\s)-\margin}:\radius);
}
\end{tikzpicture}
```

TikZJax + tikz-cd

tikzcd: Commutative diagrams with TikZ

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```tikz
\begin{tikzcd}[row sep=2.5em]
A' \arrow[rr,"f'"] \arrow[dr,swap,"a"] \arrow[dd,swap,"g'"] &&
B' \arrow[dd,swap,"h'" near start] \arrow[dr,"b"] \\
& A \arrow[rr,crossing over,"f" near start] &&
B \arrow[dd,"h"] \\
C' \arrow[rr,"k'" near end] \arrow[dr,swap,"c"] && D' \arrow[dr,swap,"d"] \\
& C \arrow[rr,"k"] \arrow[uu,<-,crossing over,"g" near end]&& D
\end{tikzcd}
```

TikZJax + tikz-feynhand

TikZ-FeynHand: Basic User Guide

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```tikz
\begin{tikzpicture}
  \begin{feynhand}
    \vertex [particle] (i1) at (-3,4) {$u$};
    \vertex [particle] (i2) at (-3,3.5) {$d$};
    \vertex [particle] (i3) at (-3,3) {$d$};
    \vertex [particle] (f1) at (3,4) {$u$};
    \vertex [particle] (f2) at (3,3.5) {$d$};
    \vertex [particle] (f3) at (3,3) {$u$};
    \vertex (w1) at (0,3);
    \vertex (w2) at (0,2.5);
    \vertex (w3) at (0,2);
    \vertex (w4) at (1.5,1);
    \vertex [particle] (e) at (3,1.5) {$e^{-}$};
    \vertex [particle] (an) at (3,0.5) {$\bar{\nu}_{e}$};
    \propag [fermion] (i1) to (w1);
    \propag [fermion] (i2) to (w2);
    \propag [fermion] (i3) to (w3);
    \propag [fermion] (w1) to (f1);
    \propag [fermion] (w2) to (f2);
    \propag [fermion] (w3) to (f3);
    \propag [charged boson] (w3) to [edge label=$W^{-}$] (w4);
    \propag [fermion] (w4) to (e);
    \propag [anti fermion] (w4) to (an);
  \end{feynhand}
\end{tikzpicture}
```