An example of resonance instability
Spectral Theory
2020-05-21 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We construct a semiclassical Schr\"{o}dinger operator such that the imaginary part of its resonances closest to the real axis changes by a term of size when a real compactly supported potential of size is added.
Cite
@article{arxiv.2005.10035,
title = {An example of resonance instability},
author = {Jean-Francois Bony and Setsuro Fujiie and Thierry Ramond and Maher Zerzeri},
journal= {arXiv preprint arXiv:2005.10035},
year = {2020}
}
Comments
14 pages, 6 figures