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Resonances associated to a closed hyperbolic trajectory in dimension 2

Johannes Sjoestrand
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Abstract

We consider resonances in the semi-classical limit, generated by a single closed hyperbolic orbit, for an operator on ${\bf R}^2$. 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.

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Johannes Sjoestrand. 2002-09-12. Resonances associated to a closed hyperbolic trajectory in dimension 2. https://arxiv.org/abs/math/0209147

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