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## Main Question or Discussion Point

I keep coming across the claim that it is a consequence of the Schrodinger dynamics, that even if one postulates wave-function-collapse, so that the wave-function for a particle is entirely confined within some small region at the moment of collapse, an instant later the wave-function will have acquired "small tails" spreading to infinity in all directions.

Can someone please tell me what the mechanism behind this is? Why does the Schrodinger dynamics make the amplitude nonzero everywhere?

Can someone please tell me what the mechanism behind this is? Why does the Schrodinger dynamics make the amplitude nonzero everywhere?