dorsal/arxiv
View SchemaWave function collapse implies divergence of average displacement
| Authors | A. Marchewka, Z. Schuss |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504105 |
| URL | https://arxiv.org/abs/quant-ph/0504105 |
Abstract
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.
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"abstract": "We show that propagating a truncated discontinuous wave function by\nSchr\\\"odinger\u0027s equation, as asserted by the collapse axiom, gives rise to\nnon-existence of the average displacement of the particle on the line. It also\nimplies that there is no Zeno effect. On the other hand, if the truncation is\ndone so that the reduced wave function is continuous, the average coordinate is\nfinite and there is a Zeno effect. Therefore the collapse axiom of measurement\nneeds to be revised.",
"arxiv_id": "quant-ph/0504105",
"authors": [
"A. Marchewka",
"Z. Schuss"
],
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"quant-ph"
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"title": "Wave function collapse implies divergence of average displacement",
"url": "https://arxiv.org/abs/quant-ph/0504105"
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