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arXiv · 2007.02176

Quantum particles that behave as free classical particles

Sergio A. Hojman·Felipe A. Asenjo
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Abstract

The existence of non-vanishing Bohm potentials, in the Madelung-Bohm version of the Schr\"odinger equation, allows for the construction of particular solutions for states of quantum particles interacting with non-trivial 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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Sergio A. Hojman, Felipe A. Asenjo. 2020-07-04. Quantum particles that behave as free classical particles. https://doi.org/10.1103/physreva.102.052211

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