Resonances associated to a closed hyperbolic trajectory in dimension 2
Spectral Theory
2007-05-23 v1 Analysis of PDEs
Abstract
We consider resonances in the semi-classical limit, generated by a single closed hyperbolic orbit, for an operator on . We determine all such resonancess in a domain independent of the semi-classical parameter As an application we determine all resonances generated by a saddle point in a fixed disc around the critical energy.
Cite
@article{arxiv.math/0209147,
title = {Resonances associated to a closed hyperbolic trajectory in dimension 2},
author = {Johannes Sjoestrand},
journal= {arXiv preprint arXiv:math/0209147},
year = {2007}
}