WKB analysis of Bohmian dynamics

Details WKB analysis of Bohmian dynamics WKB analysis of Bohmian dynamics

2012-02-14

arxiv.org/abs/1202.3134v1

Physics

Mathematical Physics

29 pages, 13 figures

Scientific paper

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.

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