Quantum particles that behave as free classical particles
Quantum Physics
2021-02-05 v2
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.
Cite
@article{arxiv.2007.02176,
title = {Quantum particles that behave as free classical particles},
author = {Sergio A. Hojman and Felipe A. Asenjo},
journal= {arXiv preprint arXiv:2007.02176},
year = {2021}
}