Resonances over a potential well in an island
Analysis of PDEs
2021-02-02 v2 Mathematical Physics
math.MP
Abstract
In this paper we study the distribution of scattering resonances for a multidimensional semi-classical Schr\"odinger operator, associated to a potential well in an island at energies close to the maximal one that limits the separation of the well and the surrounding sea.
Cite
@article{arxiv.2004.02207,
title = {Resonances over a potential well in an island},
author = {Johannes Sjöstrand and Maher Zerzeri},
journal= {arXiv preprint arXiv:2004.02207},
year = {2021}
}
Comments
55 pages, 2 figures, to be published in Arkiv f\"or Matematik