Short Time Quantum Propagator and Bohmian Trajectories
Quantum Physics
2013-04-30 v1 Mathematical Physics
math.MP
Abstract
We begin by giving correct expressions for the short-time action; following the work of one of us and Makri--Miller. We use these estimates to derive a correct expression modulo modulo delta(t)sqr for the quantum propagator and we show that the quantum potential is negligible modulo delta(t)sqr for a point source. We finally prove that this implies that the quantum motion is classical for very short times.
Cite
@article{arxiv.1304.4771,
title = {Short Time Quantum Propagator and Bohmian Trajectories},
author = {Maurice de Gosson and Basil Hiley},
journal= {arXiv preprint arXiv:1304.4771},
year = {2013}
}
Comments
Submitted paper