Clebsch-Gordan decomposition (source code)

= Clebsch-Gordan decomposition
{c}

The tensor product of spin-$j_1$ and spin-$j_2$ irreducible representations decomposes into one copy of each spin
$$
j=|j_1-j_2|,|j_1-j_2|+1,\ldots,j_1+j_2.
$$
The change-of-basis entries between uncoupled and coupled states are Clebsch--Gordan coefficients.