Physical motivation behind the result $\mathbf {\frac12} \otimes \mathbf 1 = \mathbf { \frac 32} \oplus \mathbf { \frac 12}$

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When we are considering the total angular momentum of a system with spin 1/2 and orbital angular momentum $\ell = 1$, we obtain the result that $$\mathbf {\frac12} \otimes \mathbf 1 = \mathbf { \fr... ...Read More