Hyperbolic Hamiltonian flows and the semi-classical Poincar\'e map
Mathematical Physics
2013-07-09 v1 math.MP
Abstract
We consider semi-excited resonances created by a periodic orbit of hyperbolic type for Schr\"odinger type operators with a small "Planck constant". They are defined within an analytic framework based on the semi-classical quantization of Poincar\'e map in action-angle variables.
Cite
@article{arxiv.1307.2107,
title = {Hyperbolic Hamiltonian flows and the semi-classical Poincar\'e map},
author = {H. Fadhlaoui and H. Louati and M. Rouleux},
journal= {arXiv preprint arXiv:1307.2107},
year = {2013}
}