In the momentum representation, the position operator acts on the wavefunction as(adsbygoogle = window.adsbygoogle || []).push({});

1) ##X_i = i\frac{\partial}{\partial p_i}##

Now we want under rotations $U(R)$ the position operator to transform as

##U(R)^{-1}\mathbf{X}U(R) = R\mathbf{X}##

How does one show that the position operator as represented in 1) indeed transforms like this?

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# A Transformation of position operator under rotations

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