1307.2107 (H. Fadhlaoui et al.)

Hyperbolic Hamiltonian flows and the semi-classical Poincaré map    [PDF]

H. Fadhlaoui, H. Louati, M. Rouleux

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.

View original: http://arxiv.org/abs/1307.2107