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Distorted plane waves in chaotic scattering

Abstract : Distorted plane waves, sometimes called Eisenstein functions, are a family of eigenfunctions of a Schrodinger operator that are not square integrable. More precisely, they can be written as the sum of a plane wave and an outgoing wave. We shall study distorted plane waves in the semiclassical limit, in a general setting which includes manifolds that are Euclidean near infinity, under the hypothesis that the classical dynamics is hyperbolic close to the trapped set, and that some topological pressure is negative.
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Preprints, Working Papers, ...
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Contributor : Emmanuelle De Laborderie Connect in order to contact the contributor
Submitted on : Wednesday, August 19, 2015 - 3:49:11 PM
Last modification on : Monday, December 13, 2021 - 9:16:04 AM

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  • HAL Id : cea-01185251, version 1
  • ARXIV : 1507.02970


Maxime Ingremeau. Distorted plane waves in chaotic scattering. 2015. ⟨cea-01185251⟩



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