Clebsch-Gordan Coefficients
\(| J M j_1 j_2 \rangle = \hspace{1mm}\)
\(\sum\limits C \ | j_1 j_2 m_1 m_2 \rangle\)
What you know
What you want to know
\(| j_1 j_2 m_1 m_2 \rangle = \hspace{1mm}\)
\(\sum\limits C \ | J M j_1 j_2 \rangle\)