Suppose you have a free election and you make a measurement of its position r_0 at time t = 0. You then wait some time t required for the wave function to evolve out of its collapsed eigenstate. The electron now supposedly has a wave function expanding to infinity in all directions, albeit with exponentially decreasing amplitude. Thus there should be a small probability that we (or I suppose by necessity, someone else) find the electron at some distance d > ct from r_0. Yet we should never be able to find the electron at distances greater than ct from r_0 since its velocity cannot exceed c.(adsbygoogle = window.adsbygoogle || []).push({});

Do wave functions actually reach to infinity, or do they go to zero at ct, or something else?

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# Do wave functions go to zero at ~ct?

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