publication . Preprint . 2005

Wave function collapse implies divergence of average displacement

Marchewka, A.; Schuss, Z.;
Open Access English
  • Published: 14 Apr 2005
We show that propagating a truncated discontinuous wave function by Schr\"odinger's equation, as asserted by the collapse axiom, gives rise to non-existence of the average displacement of the particle on the line. It also implies that there is no Zeno effect. On the other hand, if the truncation is done so that the reduced wave function is continuous, the average coordinate is finite and there is a Zeno effect. Therefore the collapse axiom of measurement needs to be revised.
free text keywords: Quantum Physics
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Ψ(0, 0) = 0, the above analysis gives

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