Time and Ensemble Averages in Bohmian Mechanics

Details Time and Ensemble Averages in Bohmian Mechanics Time and Ensemble Averages in Bohmian Mechanics

2004-12-08

arxiv.org/abs/quant-ph/0412068v1

PHYSICA SCRIPTA 69 (2): 81-83 FEB 2004

Physics

Quantum Physics

6 pages

Scientific paper

10.1238/Physica.Regular.069a0008

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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