m

F Nous contacter

0
     
Post-edited

H 2 High energy asymptotics of the scattering matrix for Schrödinger and Dirac operators

Auteurs : Nakamura, Shu (Auteur de la Conférence)
CIRM (Editeur )

Loading the player...
Hamilton operators scattering theory scattering matrix pseudodifferential operator representation application to Schrödinger operators spectral consequences 2 dimensional Dirac operators 3 dimensional Dirac operators ideas of the proof of representation formula questions of the audience

Résumé : 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)

Codes MSC :
35J10 - Schrödinger operator
35P25 - Scattering theory
81U20 - $S$-matrix theory, etc.

    Informations sur la Vidéo

    Langue : Anglais
    Date de publication : 21/01/16
    Date de captation : 15/12/15
    Collection : Research talks ; Partial Differential Equations ; Mathematical Physics
    Format : MP4 (.mp4) - HD
    Durée : 00:52:42
    Domaine : Mathematical Physics ; PDE
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2015-12-15_Nakamura.mp4

Informations sur la rencontre

Nom de la rencontre : Semiclassical analysis and non-self-adjoint operators / Analyse semi-classique et opérateurs non-autoadjoints
Organisateurs de la rencontre : Fujiie, Setsuro ; Hérau, Frédéric ; Nicoleau, François ; Ramond, Thierry ; Viola, Joe ; Vu Ngoc, San
Dates : 14/12/15 - 18/12/15
Année de la rencontre : 2015
URL Congrès : http://conferences.cirm-math.fr/1230.html

Citation Data

DOI : 10.24350/CIRM.V.18909003
Cite 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

Bibliographie



Ressources Electroniques (Depuis le CIRM)

Books & Print journals

Recherche avancée


0
Z