On the selection of the classical limit for potentials with BV derivatives - Archive ouverte HAL
Article Dans Une Revue Journal of Dynamics and Differential Equations Année : 2013

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

Résumé

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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Dates et versions

hal-00662899 , version 1 (25-01-2012)
hal-00662899 , version 2 (26-01-2012)

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Agissilaos Athanassoulis, Thierry Paul. On the selection of the classical limit for potentials with BV derivatives. Journal of Dynamics and Differential Equations, 2013, 25 (1), pp.33-47. ⟨hal-00662899v2⟩
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