qspec.clebsch_gordan  (  j1 ,  j2 ,  j3 ,  m1 ,  m2 ,  m3 ,  as_sympy = False  )[source]

Calculates the Clebsch-Gordan coefficient $$C_{J_1 m_1, J_2 m_2}^{J_3 m_3} \coloneqq \langle J_1, m_1, J_2, m_2\, |\, J_3, m_3\rangle.$$

Parameters:

j1sympy_quant

The angular momentum quantum number $J_1$.

j2sympy_quant

The angular momentum quantum number $J_2$.

j3sympy_quant

The angular momentum quantum number $J_3$.

m1sympy_quant

The magnetic quantum number $m_1$.

m2sympy_quant

The magnetic quantum number $m_2$.

m3sympy_quant

The magnetic quantum number $m_3$.

as_sympybool

Return the result as a symbol (True) or as a float (False).

Returns:

cgsympy_core | float

The Clebsch-Gordan coefficient $C_{J_1 m_1, J_2 m_2}^{J_3 m_3}$.