To properly understand the double slit experiment with electrons, you need to know what is the wavefunction of the electron after it passes through a slit.
This wavefunction cannot be a plane wave. Indeed for a single slit experiment we would have a uniform impact on the screen which is not what is observed (we should observe something like diffraction through single slit for light).
Thus: what is the wave function of an electron after it has passed through a slit, given that it was a plane wave before for example?
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