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Estimates on the molecular dynamics for the predissociation process
Multi angle
Authors : Martinez, André (Author of the conference)
CIRM (Publisher )
35J10 - Schrödinger operator
35P15 - Estimation of eigenvalues and upper and lower bounds for PD operators
47A75 - Eigenvalue problems (linear operators)
81Q15 - Perturbation theories for operators and differential equations
35B34 - Resonances in solutions of PDE
CIRM (Publisher )
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Abstract :
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.
MSC Codes : This is a joint work with Ph. Briet.
35J10 - Schrödinger operator
35P15 - Estimation of eigenvalues and upper and lower bounds for PD operators
47A75 - Eigenvalue problems (linear operators)
81Q15 - Perturbation theories for operators and differential equations
35B34 - Resonances in solutions of PDE
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 21/01/16 Conference Date : 18/12/15 Subseries : Research talks arXiv category : Spectral Theory ; Mathematical Physics Mathematical Area(s) : PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:48:53 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-12-18_Martinez.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.18911303Cite this video as: Martinez, André (2015). Estimates on the molecular dynamics for the predissociation process. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18911303 URI : http://dx.doi.org/10.24350/CIRM.V.18911303 |
Bibliography
- Briet, P., & Martinez, A. (2015). Estimates on the molecular dynamics for the predissociation process.
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