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| HAL: hal-00281584, version 1 |
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| Asymptotic Analysis 58, 1-2 (2008) 57-125 |
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| Semiclassical scattering amplitude at the maximum point of the potential |
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| Ivana Alexandrova 1Jean-Francois Bony 2 |
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| (2008) |
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| 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. |
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| 1: | Department of Mathematics |
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East Carolina University |
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| 2: | Institut de Mathématiques de Bordeaux (IMB) |
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CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II |
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| 3: | Laboratoire de Mathématiques d'Orsay (LM-Orsay) |
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CNRS : UMR8628 – Université Paris XI - Paris Sud |
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| Subject | : | Mathematics/Analysis of PDEs Physics/Mathematical Physics Mathematics/Mathematical Physics Mathematics/Functional Analysis Mathematics/Spectral Theory |
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| Attached file list to this document: | |||||
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| hal-00281584, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00281584 | |
| oai:hal.archives-ouvertes.fr:hal-00281584 | |
| From: Jean Francois Bony | |
| Submitted on: Friday, 23 May 2008 13:11:12 | |
| Updated on: Thursday, 29 May 2008 17:07:31 | |
