are the Clebsch–Gordan coefficients. Note that some authors write them in a different order such as ⟨ j 1 j 2 ; m 1 m 2 | J M ⟩. Another common notation is ⟨ j 1 m 1 j 2 m 2 | J M ⟩ = C j 1 m 1 j 2 m 2.