dorsal/arxiv
View SchemaDiscrete Time Leads to Quantum-Like Interference of Deterministic Particles
| Authors | Andrei Khrennikov, Yaroslav Volovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0203009 |
| URL | https://arxiv.org/abs/quant-ph/0203009 |
Abstract
In this note we demonstrate that a quantum-like interference picture could appear as a statistical effect of interference of deterministic particles, i.e. particles that have trajectories and obey deterministic equations, if one introduces a discrete time. The nature of the resulting interference picture does not follow from the geometry of force field, but is strongly attached to the time discreetness parameter. As a demonstration of this concept we consider a scattering of charged particles on the charged screen with a single slit. The resulting interference picture has a nontrivial minimum-maximum distribution which vanishes as the time discreetness parameter goes to zero that could be interpreted as an analog of quantum decoherence.
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"abstract": "In this note we demonstrate that a quantum-like interference picture could\nappear as a statistical effect of interference of deterministic particles, i.e.\nparticles that have trajectories and obey deterministic equations, if one\nintroduces a discrete time. The nature of the resulting interference picture\ndoes not follow from the geometry of force field, but is strongly attached to\nthe time discreetness parameter. As a demonstration of this concept we consider\na scattering of charged particles on the charged screen with a single slit. The\nresulting interference picture has a nontrivial minimum-maximum distribution\nwhich vanishes as the time discreetness parameter goes to zero that could be\ninterpreted as an analog of quantum decoherence.",
"arxiv_id": "quant-ph/0203009",
"authors": [
"Andrei Khrennikov",
"Yaroslav Volovich"
],
"categories": [
"quant-ph"
],
"title": "Discrete Time Leads to Quantum-Like Interference of Deterministic Particles",
"url": "https://arxiv.org/abs/quant-ph/0203009"
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