Widths of highly excited shape resonances
Mathematical Physics
2016-03-23 v1 math.MP
Abstract
We study the widths of shape resonances for the semiclassical multi-dimensional Schr\"odinger operator, in the case where the frequency remains close to some value strictly larger than the bottom of the well. Under a condition on the behavior of the resonant state inside the well, we obtain an optimal lower bound for the widths.
Keywords
Cite
@article{arxiv.1603.06791,
title = {Widths of highly excited shape resonances},
author = {André Martinez and Marzia Dalla Venezia},
journal= {arXiv preprint arXiv:1603.06791},
year = {2016}
}