Estimates on the molecular dynamics for the predissociation process | Vidéo | Carmin.tv

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Estimates on the molecular dynamics for the predissociation process

De André Martinez

Apparaît dans la collection : Semiclassical analysis and non-self-adjoint operators / Analyse semi-classique et opérateurs non-autoadjoints

We study the survival probability associated with a semiclassical matrix Schrödinger operator that models the predissociation of a general molecule in the Born-Oppenheimer approximation. We show that it is given by its usual time-dependent exponential contribution, up to a reminder term that is small in the semiclassical parameter and for which we find the main contribution. The result applies in any dimension, and in presence of a number of resonances that may tend to infinity as the semiclassical parameter tends to 0. This is a joint work with Ph. Briet.

Informations sur la vidéo

Date de captation 18/12/2015
Date de publication 21/01/2016
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.18911303
Citer cette vidéo Martinez, André (18/12/2015). Estimates on the molecular dynamics for the predissociation process. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18911303
URL https://dx.doi.org/10.24350/CIRM.V.18911303

Domaine(s)

Bibliographie

Briet, P., & Martinez, A. (2015). Estimates on the molecular dynamics for the predissociation process. <arXiv:1503.05507> - http://arxiv.org/abs/1503.05507
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Costin, O., & Soffer, A. (2001). Resonance theory for Shrodinger operators. Communications in Mathematical Physics, 224(1), 133-152 - http://dx.doi.org/10.1007/s002200100558
Herbst, I. (1980). Exponential decay in the Stark effect. Communications in Mathematical Physics, 75(3), 197-205 - http://dx.doi.org/10.1007/bf01212708
Hunziker, W. (1990). Resonances, metastable states and exponential decay laws in perturbation theory. Communications in Mathematical Physics, 132(1), 177-182 - http://dx.doi.org/10.1007/bf02278006
Jensen, A., & Nenciu, G. (2006). The Fermi golden rule and its form at thresholds in odd dimensions. Communications in Mathematical Physics, 261, 693-727 - http://dx.doi.org/10.1007/s00220-005-1428-0

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