Resonances associated to a closed hyperbolic trajectory in dimension 2

Details Resonances associated to a closed hyperbolic trajectory in dimension 2 Resonances associated to a closed hyperbolic trajectory in dimension 2

2002-09-12

arxiv.org/abs/math/0209147v1

Mathematics

Spectral Theory

Scientific paper

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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