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【角運動量の合成Memo1】
\begin{equation}
\vec{j}=\vec{j}_{1}+\vec{j}_{2}=\vec{j}_{1}\otimes1+1\otimes\vec{j}_{2}
\end{equation}
\begin{equation}
\left[ j_{1\kappa},j_{2\lambda} \right]=0~,~\left[ j_{1\kappa},j_{1\lambda} \right]=i\epsilon_{\kappa\lambda\sigma}j_{1\sigma}
\end{equation}
\begin{equation}
j_{1z}|j_{1}m_{1}\rangle=m_{1}|j_{1}m_{1}\rangle~,~\vec{j}^{2}_{1}|j_{1}m_{1}\rangle=j_{1}(j_{1}+1)|j_{1}m_{1}\rangle
\end{equation}

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