Since the force on the object is F = −dU/dz = −mg in this case, we find that the acceleration is a = F/m = −mg/m = −g. You are quite literally the creator of your reality!! The medium itself does not move except to oscillate as the wave passes. I know that for any decent potential-- and we definitely need Psi prime bounded. TMS's point about there being difference between bosonic and fermionic wave functions is a good start, however, the better point is that the wave function is situationally dependent.

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