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Resonances en limite semiclassique et exposants de Lyapunov

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Abstract

We determine the width of resonance-free domains in the complex plane for the semiclassical Schrödinger operator −h 2Δ+V(x) whenh→0, in terms of Lyapunov exponents for the associated classical flow.

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(D'autres références sur les résonances sont indiquées dans [5], et on se limite ici aux travaux qui jouent un rôle pour les techniques utilisées.)

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Communicated by B. Simon

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Gérard, C., Sjöstrand, J. Resonances en limite semiclassique et exposants de Lyapunov. Commun.Math. Phys. 116, 193–213 (1988). https://doi.org/10.1007/BF01225255

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  • DOI: https://doi.org/10.1007/BF01225255

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