WKB analysis of Bohmian dynamics
Mathematical Physics
2012-02-16 v1 math.MP
Quantum Physics
Abstract
We consider a semi-classically scaled Schr\"odinger equation with WKB initial data. We prove that in the classical limit the corresponding Bohmian trajectories converge (locally in measure) to the classical trajectories before the appearance of the first caustic. In a second step we show that after caustic onset this convergence in general no longer holds. In addition, we provide numerical simulations of the Bohmian trajectories in the semiclassical regime which illustrate the above results.
Keywords
Cite
@article{arxiv.1202.3134,
title = {WKB analysis of Bohmian dynamics},
author = {A. Figalli and C. Klein and P. Markowich and C. Sparber},
journal= {arXiv preprint arXiv:1202.3134},
year = {2012}
}
Comments
29 pages, 13 figures