A. Figalli, C. Klein, P. Markowich, C. Sparber
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.
View original:
http://arxiv.org/abs/1202.3134
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