https://hal-cea.archives-ouvertes.fr/cea-01185251Ingremeau, MaximeMaximeIngremeauIPHT - Institut de Physique Théorique - UMR CNRS 3681 - CEA - Commissariat à l'énergie atomique et aux énergies alternatives - Université Paris-Saclay - CNRS - Centre National de la Recherche ScientifiqueDistorted plane waves in chaotic scatteringHAL CCSD2015[PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph]De Laborderie, Emmanuelle2015-08-19 15:49:112021-12-13 09:16:042015-08-19 15:49:11enPreprints, Working Papers, ...1Distorted 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.