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H 1 Quantum Sabine law for resonances in transmission problems

Auteurs : Galkowski, Jeffrey (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : We prove a quantum Sabine law for the location of resonances in transmission problems. In this talk, our main applications are to scattering by strictly convex, smooth, transparent obstacles and highly frequency dependent delta potentials. In each case, we give a sharp characterization of the resonance free regions in terms of dynamical quantities. In particular, we relate the imaginary part of resonances to the chord lengths and reflectivity coefficients for the ray dynamics and hence give a quantum version of the Sabine law from acoustics.

    Codes MSC :
    35P25 - Scattering theory
    35Q40 - PDEs in connection with quantum mechanics
    35B34 - Resonances in solutions of PDE

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 12/05/2016
      Date de captation : 28/04/2016
      Collection : Research talks ; Partial Differential Equations ; Mathematical Physics
      Format : MP4
      Durée : 00:50:11
      Domaine : PDE ; Mathematical Physics
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2016-04-28_Galkowski.mp4

    Informations sur la rencontre

    Nom de la rencontre : Evolution equations on singular spaces / Équations d'évolution sur les espaces singuliers
    Organisateurs de la rencontre : Baskin, Dean ; Hillairet, Luc ; Wunsch, Jared
    Dates : 25/04/2016 - 29/04/2016
    Année de la rencontre : 2016
    URL Congrès : http://conferences.cirm-math.fr/1396.html

    Citation Data

    DOI : 10.24350/CIRM.V.18963703
    Cite this video as: Galkowski, Jeffrey (2016). Quantum Sabine law for resonances in transmission problems. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18963703
    URI : http://dx.doi.org/10.24350/CIRM.V.18963703


    Voir aussi

    Bibliographie

    1. Galkowski, J. (2015). The quantum Sabine law for resonances in transmission problems. - http://arxiv.org/abs/1511.05091

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