WKB Analysis of Bohmian Dynamics

Alessio Figalli, Christian C. Klein, Peter A. Markowich, Christof Sparber

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

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 Wiley Periodicals, Inc.
Original languageEnglish (US)
Pages (from-to)581-620
Number of pages40
JournalCommunications on Pure and Applied Mathematics
Volume67
Issue number4
DOIs
StatePublished - Oct 18 2013

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)

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