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On the Selection of the Classical Limit for Potentials With BV Derivatives

On the Selection of the Classical Limit for Potentials With BV Derivatives

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Original languageEnglish
Pages (from-to)33-47
Number of pages15
JournalJournal of Dynamics and Differential Equations
Volume25
Issue number1
DOIs
StatePublished - Mar 2013

Abstract

We consider the classical limit of the quantum evolution, with some rough potential, of wave packets concentrated near singular trajectories of the underlying dynamics. We prove that under appropriate conditions, even in the case of BV vector fields, the correct classical limit can be selected. © 2012 Springer Science+Business Media New York.

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