How to measure the wave-function absolute squared of a moving particle by using mirrors

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We consider a slow particle with wave function $ψ_t(\vec{x})$, moving freely in some direction. A mirror is briefly switched on around a time $T$ and its position is scanned. It is shown that the measured reflection probability then allows the determination of $|ψ_T(\vec{x})|^2$. Experimentally available atomic mirrors should make this method applicable to the center-of-mass wave function of atoms with velocities in the cm/s range.
4 pages, 5 figures

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