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Estimates on the molecular dynamics for the predissociation process

By André Martinez

Appears in 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.

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Citation data

  • DOI 10.24350/CIRM.V.18911303
  • Cite this video 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

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