Hyperbolic Hamiltonian flows and the semi-classical Poincaré map

2013/07/08 by H. Fadhlaoui, Fadhlaoui, H., H. Louati +3
Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Quantum chaos and dynamical systems #Advanced Mathematical Physics Problems

paper · doi:10.48550/arxiv.1307.2107

Abstract

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.

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