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Measurement procedure in the de Broglie-Bohm theory

A. M. Aleshin, V. V. Nikitin, P. I. Pronin

Memoirs of the Faculty of Physics 2023. N 4.

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Annotation

The measurement process in the deterministic de Broglie-Bohm theory is investigated. The simplest devices for measuring coordinates and momentum are modeled, while both the measurement device and the quantum system are described by the same unified laws. Thus, the problem with the probability distribution in the momentum space, posed in the works \cite{kurt,naun,heim}, is solved. The trajectories of de Broglie particles are calculated numerically. The restoration of the Heisenberg uncertainty principle is qualitatively verified when the coordinate and momentum are measured alternately.

Received: 2023 May 30
Approved: 2023 October 17
PACS:
03.65.Ta Foundations of quantum mechanics; measurement theory
Authors
A. M. Aleshin, V. V. Nikitin, P. I. Pronin
$^1$1 Physics Faculty of M.V. Lomonosov Moscow State University
Issue 4, 2023

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