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I have seen an example of commutator of the Parity operator of the x-coordinate , P_{x}and angular momentum in the z-direction L_{z}calculated as [ P_{x}, L_{z}] ψ(x , y) = -2L_{z}ψ (-x , y)

I have tried to calculate the commutator without operating on a wavefunction and just by expanding commutator brackets and I get [ P_{x}, L_{z}] = 2P_{x}L_{z}

Are these 2 answers equivalent and if so how do I get from my answer to the given answer ?

Thanks

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# I Commutator of Parity operator and angular momentum

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