WKB Analysis of Bohmian Dynamics

  title={WKB Analysis of Bohmian Dynamics},
  author={Alessio Figalli and Christian Klein and Peter A. Markowich and Christof Sparber},
  journal={Communications on Pure and Applied Mathematics},
We consider a semiclassically scaled Schrödinger 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 that illustrate the above results.© 2014… 

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