利用Schur引理确定了角动量耦合的Clebsch—Gordan系数按照其定义所允许的任意程度,然后利用正交归一关系和相位知识,导出了Clebsch—Gordan系数的对称性.
The freedom in the Clebsch-Gordan coefficients for the coupling between two angular momenta allowed by its definition is determined by the Sehur's lemma. Then the symmetry properties of the Clebsch-Gordan coefficients are obtained by using their orthonormality and phase convention.