Quantum particles that behave as free classical particles
arXiv:2007.02176 · doi:10.1103/PhysRevA.102.052211
Abstract
The existence of non-vanishing 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 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.