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Scattering and the Role of Operators in Bohmian Mechanics

Martin Däumer, D. Dürr, Sheldon Goldstein +1 more

NATO ASI series. Series B : PhysicsJan 1, 199411 citations

Bohmian mechanics and the emergence of classicality

A. Matzkin

Bohmian mechanics is endowed with an ontological package that supposedly allows to solve the main interpretational problems of quantum mechanics. We are concerned in this work by the emergence of classicality from the quantum mechanical substrate. We will argue that although being superficially attractive, the de Broglie-Bohm interpretation does not shed new light on the quantum-to-classical transition. This is due to nature of the dynamical law of Bohmian mechanics by which the particles follow the streamlines of the probability flow. As a consequence, Bohmian trajectories can be highly non-classical even when the wavefunction propagates along classical trajectories, as happens in semiclassical systems. In order to account for classical dynamics, Bohmian mechanics needs non-spreading and non-interfering wave packets: this is achieved for practical purposes by having recourse to decoherence and dense measurements. However one then faces the usual fundamental problems associated with the meaning of reduced density matrices. Moreover the specific assets of the de Broglie-Bohm interpretation – in particular the existence of point-like particles pursuing well-defined trajectories – would play no role in accounting for the emergence of classical dynamics.Bohmian mechanics is endowed with an ontological package that supposedly allows to solve the main interpretational problems of quantum mechanics. We are concerned in this work by the emergence of classicality from the quantum mechanical substrate. We will argue that although being superficially attractive, the de Broglie-Bohm interpretation does not shed new light on the quantum-to-classical transition. This is due to nature of the dynamical law of Bohmian mechanics by which the particles follow the streamlines of the probability flow. As a consequence, Bohmian trajectories can be highly non-classical even when the wavefunction propagates along classical trajectories, as happens in semiclassical systems. In order to account for classical dynamics, Bohmian mechanics needs non-spreading and non-interfering wave packets: this is achieved for practical purposes by having recourse to decoherence and dense measurements. However one then faces the usual fundamental problems associated with the meaning of reduced density matrices. Moreover the specific assets of the de Broglie-Bohm interpretation – in particular the existence of point-like particles pursuing well-defined trajectories – would play no role in accounting for the emergence of classical dynamics.

Journal of Physics Conference SeriesJun 1, 20090 citations

Bohmian Mechanics Revisited

E. Deotto, G. C. Ghirardi

arXiv:quant-ph/9704021Foundations of PhysicsJan 1, 1998145 citations

Perturbation theory in bohmian mechanics

A. Terenzi, F. Cannata

Foundations of Physics LettersAug 1, 19970 citations

Time-Dependent Density Functional Theory from a Bohmian Perspective

Ángel S. Sanz, Xavier Giménez, Josep María Bofill +1 more

In it, an overview of the relationship between time-dependent DFT and quantum hydrodynamics is presented, showing the role that Bohmian mechanics can play within the ab-initio methodology as both a numerical and an interpretative tool.

CRC Press eBooksFeb 23, 20093 citations

Bohmian mechanics in momentum representation and beyond

Moise Bonilla–Licea, Dieter Schuch

Physics Letters AJun 18, 202016 citations

On the Role of Density Matrices in Bohmian Mechanics

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