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arXiv · 1201.5622

On the selection of the classical limit for potentials with BV derivatives

Agissilaos Athanassoulis·Thierry Paul
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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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Agissilaos Athanassoulis, Thierry Paul. 2012-01-26. On the selection of the classical limit for potentials with BV derivatives. https://doi.org/10.1007/s10884-012-9284-z

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