triqs.operators.util.U_matrix.clebsch_gordan
- triqs.operators.util.U_matrix.clebsch_gordan(jm1, jm2, jm3)[source]
Calculate the Clebsh-Gordan coefficient
\[\begin{split}\langle j_1 m_1 j_2 m_2 | j_3 m_3 \rangle = (-1)^{j_1-j_2+m_3} \sqrt{2 j_3 + 1} \begin{pmatrix} j_1 & j_2 & j_3\\ m_1 & m_2 & -m_3 \end{pmatrix}.\end{split}\]- Parameters:
jm1 (tuple of integers) – (j_1 m_1)
jm2 (tuple of integers) – (j_2 m_2)
jm3 (tuple of integers) – (j_3 m_3)
- Returns:
cgcoeff – Clebsh-Gordan coefficient.
- Return type:
scalar