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I would like to find the commutator [itex]\left[Lx^2,Ly^2\right][/itex] and prove that

[itex]\left[Lx^2,Ly^2\right][/itex]=[itex]\left[Ly^2,Lz^2\right][/itex]=[itex]\left[Lz^2,Lx^2\right][/itex] I infer from the cyclic appearance of the indices that using the index notation would be much more compact and insightful to solve the problem. However due to summation convention I do not know how to write a component squared instead of the whole vector squared. What is the remedy? Any help suggestion is welcome.

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# Commutator with Tensor Notation

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