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

Agissilaos Athanassoulis; Thierry Paul

doi:10.1007/s10884-012-9284-z

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

Agissilaos Athanassoulis, Thierry Paul

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	33-47
Number of pages	15
Journal	Journal of Dynamics and Differential Equations
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/s10884-012-9284-z
Publication status	Published - Mar 2013

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title = "On the Selection of the Classical Limit for Potentials With BV Derivatives",

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. {\textcopyright} 2012 Springer Science+Business Media New York.",

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AB - 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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