【Crebsh-Gordan係数と$3j$記号】
\begin{equation}
\langle j_{1}j_{2}m_{1}m_{2}|jm\rangle=(-1)^{-j_{1}+j_{2}-m}\sqrt{2j+1}
\left(
\begin{array}{ccc}
j_{1} & j_{2} & j\\
m_{1} & m_{2} & -m_{3}
\end{array}
\right)
\end{equation}