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Cohen-Tannoudji pp 223

The observable $\mathbf A$ which describes a classically defined physical quantity $\mathscr A$ is obtained by replacing, in the suitably symmetrized expression for $\mathscr A, \mathbf r$ and $\mathbf p$ by the observables $\mathbf R$ and $\mathbf P$ respectively

From above we can say that there exists a velocity operator given as $\displaystyle\mathbf v=\mathbf {\frac{d\hat R}{dt}}$

I've never seen such an expression for velocity operator and I suspect it's wrong. If it's wrong why is it so?

Mauricio
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Kashmiri
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