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High energy asymptotics of the scattering matrix for Schrödinger and Dirac operators
Post-edited
Authors : Nakamura, Shu (Author of the conference)
CIRM (Publisher )
35J10 - Schrödinger operator
35P25 - Scattering theory
81U20 - $S$-matrix theory, etc.
CIRM (Publisher )
Abstract :
We consider short-range perturbations of elliptic operators on $R^d$ with constant coefficients, and study the asymptotic properties of the scattering matrix as the energy tends to infinity. We give the leading terms of the symbol of the scattering matrix. The proof employs semiclassical analysis combined with a generalization of the Isozaki-Kitada theory on time-independent modifiers. We also consider scattering matrices for 2 and 3 dimensional Dirac operators. (joint work with Alexander Pushnitski (King's College London)
MSC Codes : 35J10 - Schrödinger operator
35P25 - Scattering theory
81U20 - $S$-matrix theory, etc.
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 21/01/16 Conference Date : 15/12/15 Subseries : Research talks arXiv category : Mathematical Physics ; Analysis of PDEs Mathematical Area(s) : Mathematical Physics ; PDE Format : MP4 (.mp4) - HD Video Time : 00:52:42 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-12-15_Nakamura.mp4 
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Information on the Event
Event Title : Semiclassical analysis and non-self-adjoint operators / Analyse semi-classique et opérateurs non-autoadjointsEvent Organizers : Fujiie, Setsuro ; Hérau, Frédéric ; Nicoleau, François ; Ramond, Thierry ; Viola, Joe ; Vu Ngoc, San Dates : 14/12/15 - 18/12/15 Event Year : 2015 Event URL : http://conferences.cirm-math.fr/1230.html
Citation Data
DOI : 10.24350/CIRM.V.18909003Cite this video as: Nakamura, Shu (2015). High energy asymptotics of the scattering matrix for Schrödinger and Dirac operators. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18909003 URI : http://dx.doi.org/10.24350/CIRM.V.18909003 |
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