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I need an explanation:

Is the momentum operator for a free particle with a definite momentum and energy the same as what we know as the momentum operator in general?

Is it just -ih/2PI()*partial/partial_x?

With the justification that since the momentum is definite, delta p is 0, but delta x must go to infinity so differentiating wrt. x gives

(momentum_operator)*wave_func.=momentum*wave func?

If anyone could clarify I'd be grateful:)

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# Momentum operator for a free particle with a definite momentum and Energy

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