Quantum particles that behave as free classical particles

Sergio A. Hojman; Felipe A. Asenjo

doi:10.1103/PhysRevA.102.052211

Quantum particles that behave as free classical particles

Sergio A. Hojman
, Felipe A. Asenjo

Faculty of Liberal Arts

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

8 Scopus citations

Abstract

The existence of nonvanishing Bohm potentials, in the Madelung-Bohm version of the Schrödinger equation, allows for the construction of particular solutions for states of quantum particles interacting with nontrivial external potentials that propagate as free classical particles. Such solutions are constructed with phases which satisfy the classical Hamilton-Jacobi for free particles and whose probability densities propagate with constant velocity, as free classical particles do.

Original language	English
Article number	052211
Journal	Physical Review A
Volume	102
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.102.052211
State	Published - 9 Nov 2020

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10.1103/PhysRevA.102.052211

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title = "Quantum particles that behave as free classical particles",

abstract = "The existence of nonvanishing Bohm potentials, in the Madelung-Bohm version of the Schr{\"o}dinger equation, allows for the construction of particular solutions for states of quantum particles interacting with nontrivial external potentials that propagate as free classical particles. Such solutions are constructed with phases which satisfy the classical Hamilton-Jacobi for free particles and whose probability densities propagate with constant velocity, as free classical particles do.",

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AB - The existence of nonvanishing Bohm potentials, in the Madelung-Bohm version of the Schrödinger equation, allows for the construction of particular solutions for states of quantum particles interacting with nontrivial external potentials that propagate as free classical particles. Such solutions are constructed with phases which satisfy the classical Hamilton-Jacobi for free particles and whose probability densities propagate with constant velocity, as free classical particles do.

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DO - 10.1103/PhysRevA.102.052211

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SN - 2469-9926

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JO - Physical Review A

JF - Physical Review A

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Quantum particles that behave as free classical particles

Abstract

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