Semiclassical scattering amplitude at the maximum point of the potential

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dc.creatorAlexandrova, Ivana
dc.creatorBony, Jean-Francois
dc.creatorRamond, Thierry
dc.date2007-04-12
dc.date2007-04-13
dc.date.accessioned2026-07-07T07:56:22Z
dc.date.available2026-07-07T07:56:22Z
dc.descriptionWe compute the scattering amplitude for Schrödinger operators at a critical energy level, corresponding to the maximum point of the potential. We follow the wrok of Robert and Tamura, '89, using Isozaki and Kitada's representation formula for the scattering amplitude, together with results from Bony, Fujiie, Ramond and Zerzeri '06 in order to analyze the contribution of trapped trajectories.
dc.description62 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0704.1632
dc.identifierhttp://arxiv.org/abs/0704.1632
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127282
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject81U20, 35P25, 35B38, 35C20
dc.titleSemiclassical scattering amplitude at the maximum point of the potential
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