Angular momentum lowering operator
= Angular momentum lowering operator
{title2=$J_-$}
The operator $J_-=J_x-iJ_y$ acts by $J_-|j,m\rangle=\hbar\sqrt{(j+m)(j-m+1)}|j,m-1\rangle$. It generates lower magnetic states and determines <Clebsch-Gordan coefficients>.