It seems you wrote \(P\) when you meant \(K\) (\(K = -\frac{\hbar^2}{2m} \nabla^2?\))?

Other than that it's fine, though I don't think this is a "derivation". Unless you can argue from first principles that the representation for momentum should be given by \(-i\hbar\nabla\), it is just a declaration and some substituting.

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TopNewestIt seems you wrote \(P\) when you meant \(K\) (\(K = -\frac{\hbar^2}{2m} \nabla^2?\))?

Other than that it's fine, though I don't think this is a "derivation". Unless you can argue from first principles that the representation for momentum should be given by \(-i\hbar\nabla\), it is just a declaration and some substituting.

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yes, i messed up on that

thanks for pointing that out !

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