Position measurements in the de Broglie-Bohm interpretation of quantum mechanics

Gillie Naaman-Marom; Noam Erez; Lev Vaidman

doi:10.1016/j.aop.2012.07.005

Position measurements in the de Broglie-Bohm interpretation of quantum mechanics

Gillie Naaman-Marom, Noam Erez, Lev Vaidman

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

The de Broglie-Bohm interpretation of quantum mechanics assigns positions and trajectories to particles. We analyze the validity of a formula for the velocities of Bohmian particles which makes the analysis of these trajectories particularly simple. We apply it to particle detectors of four different types and show that the detectors of three of these types lead to "surrealistic trajectories", i.e., leave a trace where the Bohmian particle was not present.

Original language	English
Pages (from-to)	2522-2542
Number of pages	21
Journal	Annals of Physics
Volume	327
Issue number	10
DOIs	https://doi.org/10.1016/j.aop.2012.07.005
State	Published - Oct 2012

Keywords

Bohmian mechanics
Quantum nonlocality
Quantum trajectories
Surrealistic trajectories

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10.1016/j.aop.2012.07.005

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abstract = "The de Broglie-Bohm interpretation of quantum mechanics assigns positions and trajectories to particles. We analyze the validity of a formula for the velocities of Bohmian particles which makes the analysis of these trajectories particularly simple. We apply it to particle detectors of four different types and show that the detectors of three of these types lead to {"}surrealistic trajectories{"}, i.e., leave a trace where the Bohmian particle was not present.",

keywords = "Bohmian mechanics, Quantum nonlocality, Quantum trajectories, Surrealistic trajectories",

author = "Gillie Naaman-Marom and Noam Erez and Lev Vaidman",

note = "Funding Information: It is a pleasure to acknowledge the Towler Institute for organizing the workshop “21st-Century directions in de Broglie–Bohm theory and beyond”. The authors LV and GN benefited tremendously from discussions at this meeting. This work was supported in part by the Binational Science Foundation Grant No. 32/08 , and the Israel Science Foundation Grant No. 1125/10 .",

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Position measurements in the de Broglie-Bohm interpretation of quantum mechanics

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