Within the de Broglie–Bohm (dBB) theory, the measurement process and the determination of its outcome are usually discussed in terms of the effect of the Bohmian positions of the measured system S. This article shows that the Bohmian positions associated with the measurement apparatus M can actually play a crucial role in the determination of the result of measurement. Indeed, in many cases, the result is practically independent of the initial value of a Bohmian position associated with S, and determined only by those of M. The measurement then does not reveal the value of any pre-existing variable attached to S, but just the initial state of the measurement apparatus. Quantum contextuality then appears with particular clarity as a consequence of the dBB dynamics for entangled systems.
Revised:
Accepted:
Published online:
Geneviève Tastevin 1; Franck Laloë 1
CC-BY 4.0
@article{CRPHYS_2021__22_1_99_0,
author = {Genevi\`eve Tastevin and Franck Lalo\"e},
title = {The outcomes of measurements in the de {Broglie{\textendash}Bohm} theory},
journal = {Comptes Rendus. Physique},
pages = {99--116},
publisher = {Acad\'emie des sciences, Paris},
volume = {22},
number = {1},
year = {2021},
doi = {10.5802/crphys.81},
language = {en},
}
Geneviève Tastevin; Franck Laloë. The outcomes of measurements in the de Broglie–Bohm theory. Comptes Rendus. Physique, Volume 22 (2021) no. 1, pp. 99-116. doi : 10.5802/crphys.81. https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.81/
[1] Bertlmann’s socks and the nature of reality, J. Phys. Colloques, Volume 42 (1981) no. C2, pp. 41-62 (this article is reprinted in [3, p. 139–158]) | DOI
[2] On the problem of hidden variables in quantum mechanics, Rev. Mod. Phys., Volume 38 (1966), pp. 447-452 reprinted in Quantum Theory and Measurement, J. A. Wheeler and W. H. Zurek editors, Princeton University Press (1983), pp. 396–402 and in [3, Chapter 1] | DOI | MR | Zbl
[3] Speakable and Unspeakable in Quantum Mechanics, Collected Papers on Quantum Philosophy, Cambridge University Press, 1987 second augmented edition (2004), which contains the complete set of J. Bell’s articles on quantum mechanics | Zbl
[4] The problem of hidden variables in quantum mechanics, J. Math. Mech., Volume 17 (1967), pp. 59-87 | MR | Zbl
[5] La mécanique ondulatoire et la structure atomique de la matière et du rayonnement, Le Journal de Physique et Le Radium, Volume 8 (1927), pp. 225-241 | DOI | Zbl
[6] Tentative d’Interprétation Causale et Non-linéaire de la Mécanique Ondulatoire, VII, Gauthier-Villars, 1956 | Zbl
[7] Interpretation of quantum mechanics by the double solution theory, Ann. Fond. Louis Broglie, Volume 12 (1987) no. 4, pp. 399-421
[8] A suggested interpretation of the quantum theory in terms of hidden variables, Phys. Rev., Volume 85 (1952), p. 166-179, 180–193 | DOI | MR | Zbl
[9] Quantum mechanics and experience, Harvard University Press, 1992 | MR
[10] The Quantum Theory of Motion, Cambridge University Press, 1993 (see in particular § 8.3.4) | DOI
[11] Chapter 1: Overview of Bohmian mechanics, Applied Bohmian mechanics. From nanoscale systems to cosmology, Editorial Pan Stanford Publishing, Pte. Ltd., 2012, pp. 15-147 (https://arxiv.org/abs/1206.1084v2) | DOI | Zbl
[12] Quantum physics without quantum philosophy, Springer, 2013 | Zbl
[13] Numerical simulation of the double-slit interference with ultracold atoms, Am. J. Phys., Volume 73 (2005) no. 6, pp. 507-515 | DOI | Zbl
[14] Mécanique quantique : et si Einstein et de Broglie avaient aussi raison ?, Editions Matériologiques, 2014 (https://hal-enac.archives-ouvertes.fr/hal-01114015)
[15] Making sense of quantum mechanics, Springer, 2016 (see in particular § 5-1) | DOI | Zbl
[16] Schrödinger’s paradox and proofs on nonlocality using only perfect correlations, J. Stat. Phys., Volume 180 (2020) no. 1-6, pp. 74-91 | DOI | Zbl
[17] Bohmian mechanics. The Physics and Mathematics of Quantum Theory, Springer, 2009 (see in particular § 9.1.) | Zbl
[18] Der experimentelle Nachweis der Richtungsquantelung im Magnetfeld, Zeitschrift für Physik, Volume 9 (1922) no. 1, pp. 349-352 | DOI
[19] Surrealistic Bohmian trajectories do not occur with macroscopic pointers, Eur. Phys. J. D, Volume 72 (2018), 183 | DOI
[20] The undivided Universe, Routledge, London, 1993 | Zbl
[21] Discussion with Einstein on epistemological problems in atomic physics, Albert Einstein: Philosopher-scientist (Paul A. Schilpp, ed.) (Library of Living Philosophers), Volume 7, Open court, LaSalle, Illinois, 1949, pp. 199-241
[22] Quantum equilibrium and the origin of absolute uncertainty, J. Stat. Phys., Volume 67 (1992) no. 5-6, pp. 843-905 | DOI | MR | Zbl
[23] Bohmian conditional wave function (and the status of the quantum state), J. Phys., Conf. Ser., Volume 701 (2015), 012003 | DOI
[24] Quantum mechanics and stochastic mechanics for compatible observables at different times, Ann. Phys., Volume 296 (2002) no. 2, pp. 371-389 | DOI | MR | Zbl
[25] Do we really understand quantum mechanics?, Cambridge University Press, 2012 (§ 6.4) | MR | Zbl
[26] Bohmian mechanics for instrumentalists (2019) (https://arxiv.org/abs/1811.11643v3) | Zbl
Cited by Sources:
Comments - Policy