Hyperbolic Hamiltonian flows and the semi-classical Poincaré map

H. Fadhlaoui (1) , Haithem Louati (2, 1) , M. Rouleux (3, 2)

1 UTM - Université de Tunis El Manar
2 CPT - Centre de Physique Théorique - UMR 7332
3 CPT - E8 Dynamique quantique et analyse spectrale

We consider semi-excited resonances created by a periodic orbit of hyperbolic type for Schrödinger type operators with a small "Planck constant". They are defined within an analytic framework based on the semi-classical quantization of Poincaré map in action-angle variables.

Domaines: Physique mathématique [math-ph]

H. Fadhlaoui, Haithem Louati, M. Rouleux. Hyperbolic Hamiltonian flows and the semi-classical Poincaré map. Days on Diffraction 2013, May 2013, St. Petersburg, Russia. pp.53 - 58, ⟨10.1109/DD.2013.6712803⟩. ⟨hal-01264712⟩