Semiclassical scattering amplitude at the maximum point of the potential
| hal.structure.identifier | Department of Mathematics | |
| dc.contributor.author | ALEXANDROVA, Ivana | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BONY, Jean-Francois | |
| hal.structure.identifier | Laboratoire de Mathématiques d'Orsay [LM-Orsay] | |
| dc.contributor.author | RAMOND, Thierry | |
| dc.date.accessioned | 2024-04-04T02:53:07Z | |
| dc.date.available | 2024-04-04T02:53:07Z | |
| dc.date.issued | 2008 | |
| dc.identifier.issn | 0921-7134 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192141 | |
| dc.description.abstractEn | We 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.description.sponsorship | Equations hyperboliques dans des espaces-temps de la relativité générale : diffusion et résonances. - ANR-05-JCJC-0087 | |
| dc.language.iso | en | |
| dc.publisher | IOS Press | |
| dc.title.en | Semiclassical scattering amplitude at the maximum point of the potential | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| bordeaux.journal | Asymptotic Analysis | |
| bordeaux.page | 57-125 | |
| bordeaux.volume | 58 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1-2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00281584 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00281584v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Asymptotic%20Analysis&rft.date=2008&rft.volume=58&rft.issue=1-2&rft.spage=57-125&rft.epage=57-125&rft.eissn=0921-7134&rft.issn=0921-7134&rft.au=ALEXANDROVA,%20Ivana&BONY,%20Jean-Francois&RAMOND,%20Thierry&rft.genre=article |
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