dorsal/arxiv
View SchemaTime and Ensemble Averages in Bohmian Mechanics
| Authors | Yakir Aharonov, Noam Erez, Marlan O. Scully |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412068 |
| URL | https://arxiv.org/abs/quant-ph/0412068 |
| DOI | 10.1238/Physica.Regular.069a00081 |
| Journal | PHYSICA SCRIPTA 69 (2): 81-83 FEB 2004 |
Abstract
We show that in the framework of one-dimensional Bohmian Quantum Mechanics[1], for a particle subject to a potential undergoing a weak adiabatic change, the time averages of the particle's positions typically differ markedly from the ensemble averages. We Apply this result to the case where the weak perturbing potential is the back-action of a measuring device (i.e. a protective measurement). It is shown that under these conditions, most trajectories never cross the position measured (as already shown for a particular example in [3]).
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"abstract": "We show that in the framework of one-dimensional Bohmian Quantum\nMechanics[1], for a particle subject to a potential undergoing a weak adiabatic\nchange, the time averages of the particle\u0027s positions typically differ markedly\nfrom the ensemble averages. We Apply this result to the case where the weak\nperturbing potential is the back-action of a measuring device (i.e. a\nprotective measurement). It is shown that under these conditions, most\ntrajectories never cross the position measured (as already shown for a\nparticular example in [3]).",
"arxiv_id": "quant-ph/0412068",
"authors": [
"Yakir Aharonov",
"Noam Erez",
"Marlan O. Scully"
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"doi": "10.1238/Physica.Regular.069a00081",
"journal_ref": "PHYSICA SCRIPTA 69 (2): 81-83 FEB 2004",
"title": "Time and Ensemble Averages in Bohmian Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0412068"
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