Are Bohmian trajectories real? On the dynamical mismatch between de Broglie-Bohm and classical dynamics in semiclassical systems

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dc.creatorMatzkin, A.
dc.creatorNurock, V.
dc.date2006-09-22
dc.date2007-04-12
dc.date.accessioned2026-07-07T09:18:21Z
dc.date.available2026-07-07T09:18:21Z
dc.descriptionThe de Broglie-Bohm interpretation of quantum mechanics aims to give a realist description of quantum phenomena in terms of the motion of point-like particles following well-defined trajectories. This work is concerned by the de Broglie-Bohm account of the properties of semiclassical systems. Semiclassical systems are quantum systems that display the manifestation of classical trajectories: the wavefunction and the observable properties of such systems depend on the trajectories of the classical counterpart of the quantum system. For example the quantum properties have a regular or disordered aspect depending on whether the underlying classical system has regular or chaotic dynamics. In contrast, Bohmian trajectories in semiclassical systems have little in common with the trajectories of the classical counterpart, creating a dynamical mismatch relative to the quantum-classical correspondence visible in these systems. Our aim is to describe this mismatch (explicit illustrations are given), explain its origin, and examine some of the consequences on the status of Bohmian trajectories in semiclassical systems. We argue in particular that semiclassical systems put stronger constraints on the empirical acceptability and plausibility of Bohmian trajectories because the usual arguments given to dismiss the mismatch between the classical and the de Broglie-Bohm motions are weakened by the occurrence of classical trajectories in the quantum wavefunction of such systems.
dc.descriptionFigures downgraded to low resolution. V2:Minor changes
dc.identifierhttps://arxiv.org/abs/quant-ph/0609172
dc.identifierhttp://arxiv.org/abs/quant-ph/0609172
dc.identifierStudies in Hist. and Philosophy of Science B, 39, 17, 2008. [Published version is slightly different and carries the title "Classical and Bohmian trajectories in semiclassical systems: Mismatch in dynamics, mismatch in reality?" ]
dc.identifierdoi:10.1016/j.shpsb.2007.04.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153993
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.titleAre Bohmian trajectories real? On the dynamical mismatch between de Broglie-Bohm and classical dynamics in semiclassical systems
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