I read that electrons being emitted from a Cs plate when irradiated with photons with energy greater than work function of Cs, are used in a double slit experiment. But, should they not have varying initial phases, such that visible interference can't occur due to constant variation of intensity at any point?
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Maybe of use: https://physics.stackexchange.com/questions/76692/is-coherent-light-required-for-interference-in-youngs-double-slit-experiment – Superfast Jellyfish Aug 24 '20 at 09:13
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should they not have varying initial phases
Yes they should and they do. But this is irrelevant for the interference pattern.
To filter out a particular wavevector, usually a collimator is used. This ensures coherence (temporal and spatial). Next what you need to realise is that the interference pattern occurs due to each electron interfering with itself. This way there is always a phase relation between the two paths so to speak.

Superfast Jellyfish
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