On the selection of the classical limit for potentials with BV derivatives
Analysis of PDEs
2015-06-03 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1201.5622,
title = {On the selection of the classical limit for potentials with BV derivatives},
author = {Agissilaos Athanassoulis and Thierry Paul},
journal= {arXiv preprint arXiv:1201.5622},
year = {2015}
}