Abstract

A quantum experiment consists of a preparation procedure followed by themeasurement of a specified observable. In the experiments considered here, they-componentof momentum is measured after a particle passes through a system of slits. The source–slitsystem is the preparation apparatus that determines the initial state |ψ⟩. Recognizingthat a system of slits is a position-measuring device allows us to determine |ψ⟩.Then, a straightforward calculation gives P (py) = |⟨py |ψ⟩|2 theprobability that a particle will pass through a system of slits with momentum py = p sin θ.Interference effects are inherent in this probability function. We perform thecalculation for four different slit systems. The method is suitable for an upperlevel course in quantum mechanics.

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