On the selection of the classical limit for potentials with BV derivatives
arXiv:1201.5622 · doi:10.1007/s10884-012-9284-z
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.