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...