How to Demonstrate [Lk, r^2] = 0?

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jc09
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Homework Statement


Show that [ Lk , r^2] = 0


Homework Equations





The Attempt at a Solution


know that L=r x p=r x(-ih(bar)V)
 

Discussion

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With the k I take it you mean the third component?

Lets write it like this [Lz,r^2]=[Lz,x^2+y^2+z^2]=[Lz,x^2]+[Lz,y^2]+[Lz,z^2]. Can you work out these three commutators?
 

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