- #1

- 667

- 44

To show that [ L

^{2}, L

_{+}] uses the following commutators [ L

^{2}, L

_{x}] = 0 and [ L

^{2}, L

_{y}] = 0 . But if [ L

^{2}, L

_{x}] = 0 this shows that L

^{2}and L

_{x}have simultaneous eigenstates ; but then should L

^{2}and L

_{y}not commute ?

Thanks