Strong and weak semiclassical limits for some rough Hamiltonians
Analysis of PDEs
2015-05-19 v7
Abstract
We present several results concerning the semiclassical limit of the time dependent Schr\"odinger equation with potentials whose regularity doesn't guarantee the uniqueness of the underlying classical flow. Different topologies for the limit are considered and the situation where two bicharateristics can be obtained out of the same initial point is emphasized.
Cite
@article{arxiv.1011.1651,
title = {Strong and weak semiclassical limits for some rough Hamiltonians},
author = {Agissilaos Athanassoulis and Thierry Paul},
journal= {arXiv preprint arXiv:1011.1651},
year = {2015}
}