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\begin{equation}
j_{1}\otimes j_{2}=(j_{1}+j_{2})\oplus(j_{1}+j_{2}-1)\oplus\cdots\oplus|j_{1}-j_{2}|
\end{equation}
Ex1)「2$\times$2=4」状態が「1+3=4」状態に分類された
\begin{equation}
\frac{1}{2}\otimes\frac{1}{2}=0\oplus1
\end{equation}
Ex2)「3$\times$2=6」状態が「4+2=6」状態に分類された
\begin{equation}
1\otimes\frac{1}{2}=\frac{3}{2}\oplus\frac{1}{2}
\end{equation}

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