Abstract
We determine all the resonances in certain rectangular regions of the complex plane of the Schrödinger operator −h 2Δ+V whenh→0, under the assumption that the set of trapped points of energy 0 for the classical flow form a closed trajectory and that the corresponding Poincaré map is hyperbolic.
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Gérard, C., Sjöstrand, J. Semiclassical resonances generated by a closed trajectory of hyperbolic type. Commun.Math. Phys. 108, 391–421 (1987). https://doi.org/10.1007/BF01212317
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DOI: https://doi.org/10.1007/BF01212317