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例えば、
\begin{equation}
|l,\frac{1}{2},j=l+\frac{1}{2},m=l+\frac{1}{2}\rangle=Y_{l,l}\chi_{\frac{1}{2},\frac{1}{2}}$の$\vec{j}^2
\end{equation}
の固有値は
\begin{equation}
\vec{j}^{2}Y_{l,l}\chi_{\frac{1}{2},\frac{1}{2}}=\left( l+\frac{1}{2} \right)\left( l+\frac{1}{2}+1 \right)Y_{l,l}\chi_{\frac{1}{2},\frac{1}{2}}=\left( l+\frac{1}{2} \right)\left( l+\frac{3}{2} \right)Y_{l,l}\chi_{\frac{1}{2},\frac{1}{2}}
\end{equation}

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A Mastodon instance named Mathtodon, where you can post toots with beautiful mathematical formulae in TeX/LaTeX style.