Abstract: We consider short-range perturbations of elliptic operators on Rd 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).
Recording during the thematic meeting: "Semiclassical analysis and non-self-adjoint operators" the December 15, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
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Recording during the thematic meeting: "Semiclassical analysis and non-self-adjoint operators" the December 15, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities:
- Chapter markers and keywords to watch the parts of your choice in the video
- Videos enriched with abstracts, bibliographies, Mathematics Subject Classification
- Multi-criteria search by author, title, tags, mathematical area
Shu Nakamura : High energy asymptotics of the scattering matrix for Schrödinger and Dirac operators mathematics museum | |
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Science & Technology | Upload TimePublished on 27 Jan 2016 |
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