Two p electrons are in the coupled angular momentum states |lml1l2>=|2,-2,11>. What is the joint probability of finding the two electrons with L1z and L2z? Here is my thinking, With m1 + m2 =-2, the expansion becomes |2,-2,11>= C0-2|1,0>1|1,-2>2 + C-20|1,-2>1|1,0>2 + C-1-1|1,-1>1|1,-1>2 Now I believe I am supposed to apply the L- operator to both sides since L-|2,-2,11>=0 and since L-=L1- + L2- and we apply this to the othner side of the equatio. However what we get does not look very pretty. Am I on the right track? And what should I be doing to get the right answer?