|
| related topics |
| {particle, mechanics, theory} |
| {field, particle, equation} |
| {classical, space, random} |
| {time, wave, function} |
| {bell, inequality, local} |
| {wave, scattering, interference} |
| {force, casimir, field} |
| {cos, sin, state} |
| {measurement, state, measurements} |
| {time, decoherence, evolution} |
| {equation, function, exp} |
|
Discrete Time Leads to Quantum-Like Interference of Deterministic
Particles
Andrei Khrennikov, Yaroslav Volovich
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0203009
- categories:
- quant-ph
- arxiv_id:
- quant-ph/0203009
- created:
- 2002-03-04
Full article ▸
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