Email this article Semiclassical resonances associated with a periodic orbit
- Authors: Louati H.1,2, Rouleux M.1
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Affiliations:
- University of Aix-Marseille, University of Toulon, CNRS, CPT
- University of Tunis, El–Manar
- Issue: Vol 100, No 5-6 (2016)
- Pages: 724-730
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149852
- DOI: https://doi.org/10.1134/S0001434616110092
- ID: 149852
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Abstract
We consider resonances for a h-pseudo-differential operator H(x, hDx; h) induced by a periodic orbit of hyperbolic type. We generalize the framework of Gérard and Sjöstrand, in the sense that we allow hyperbolic and elliptic eigenvalues of the Poincarémap, and look for so-called semi-excited resonances with imaginary part of magnitude −h log h, or hδ, with 0 < δ < 1.
About the authors
H. Louati
University of Aix-Marseille, University of Toulon, CNRS, CPT; University of Tunis, El–Manar
Author for correspondence.
Email: louatihanen42@yahoo.fr
France, Paris; Tunis
M. Rouleux
University of Aix-Marseille, University of Toulon, CNRS, CPT
Email: louatihanen42@yahoo.fr
France, Paris
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