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

نویسندگان

  • Agissilaos Athanassoulis
  • Thierry Paul
  • AGISSILAOS ATHANASSOULIS
چکیده

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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[hal-00662899, v2] On the selection of the classical limit for potentials with BV derivatives

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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تاریخ انتشار 2017