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?(adsbygoogle = window.adsbygoogle || []).push({});

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?

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# Coupled Angular Momentum sates and probability

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