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Documents  Martinez, André | enregistrements trouvés : 2

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Research talks;Exposés de recherche;Partial Differential Equations;Mathematical Physics

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.
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 ...

35B34 ; 35P15 ; 35J10 ; 47A75 ; 81Q15

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- 82 p.
ISBN 978-0-8218-4296-6

Memoirs of the american mathematical society , 0936

Localisation : Collection 1er étage

opérateur pseudo-différentiel # approximation de Born-Oppenheimer # équation d'évolution # biologie # théorie quantique # évolution quantique

35Q40 ; 81Q20 ; 35S99 ; 81Q05 ; 81Q10 ; 81S30 ; 81V55

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