Spectral projection, residue of the scattering amplitude and Schrödinger group expansion for barrier-top resonances
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BONY, Jean Francois | |
| hal.structure.identifier | Graduate School of Material Science | |
| dc.contributor.author | FUJIIE, Setsuro | |
| hal.structure.identifier | Laboratoire de Mathématiques d'Orsay [LMO] | |
| dc.contributor.author | RAMOND, Thierry | |
| hal.structure.identifier | Laboratoire Analyse, Géométrie et Applications [LAGA] | |
| dc.contributor.author | ZERZERI, Maher | |
| dc.date.accessioned | 2024-04-04T02:17:31Z | |
| dc.date.available | 2024-04-04T02:17:31Z | |
| dc.date.issued | 2011 | |
| dc.identifier.issn | 0373-0956 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189235 | |
| dc.description.abstractEn | We study the spectral projection associated to a barrier-top resonance for the semiclassical Schrodinger operator. First, we prove a resolvent estimate for complex energies close to such a resonance. Using that estimate and an explicit representation of the resonant states, we show that the spectral projection has a semiclassical expansion in integer powers of h, and compute its leading term. We use this result to compute the residue of the scattering amplitude at such a resonance. Eventually, we give an expansion for large times of the Schrodinger group in terms of these resonances. | |
| dc.language.iso | en | |
| dc.publisher | Association des Annales de l'Institut Fourier | |
| dc.title.en | Spectral projection, residue of the scattering amplitude and Schrödinger group expansion for barrier-top resonances | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.5802/aif.2643 | |
| dc.subject.hal | Mathématiques [math] | |
| bordeaux.journal | Annales de l'Institut Fourier | |
| bordeaux.page | 1351-1406 | |
| bordeaux.volume | 61 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00994373 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00994373v1 | |
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