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

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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.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Crete, P.O. Box 2208, 71409 , Heraklion, Greece

    Agissilaos Athanassoulis

  2. CNRS and CMLS, École polytechnique, 91128 , Palaiseau Cedex, France

    Thierry Paul

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  1. Agissilaos Athanassoulis
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  2. Thierry Paul
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Correspondence to Thierry Paul.

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Athanassoulis, A., Paul, T. On the Selection of the Classical Limit for Potentials With BV Derivatives. J Dyn Diff Equat 25, 33–47 (2013). https://doi.org/10.1007/s10884-012-9284-z

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  • DOI: https://doi.org/10.1007/s10884-012-9284-z

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