Bohm Trajectories as Approximations to Properly Fluctuating Quantum Trajectories
Quantum Physics
2013-08-26 v1 Statistical Mechanics
High Energy Physics - Theory
Abstract
We explain the approximate nature of particle trajectories in Bohm's quantum mechanics. They are streamlines of a superfluid in Madelung's reformulation of the Schr\"{o}dinger wave function, around which the proper particle trajectories perform their quantum mechanical fluctuations to ensure Heisenberg's uncertainty relation between position and momentum.
Keywords
Cite
@article{arxiv.1308.5021,
title = {Bohm Trajectories as Approximations to Properly Fluctuating Quantum Trajectories},
author = {Pisin Chen and Hagen Kleinert},
journal= {arXiv preprint arXiv:1308.5021},
year = {2013}
}
Comments
4 pages and 2 figures