Molecular dynamics at an energy-level crossing

Abstract : This paper is a continuation of a previous work about the study of the survival probability modelizing the molecular predissociation in the Born-Oppenheimer framework. Here we consider the critical case where the reference energy corresponds to the value of a crossing of two electronic levels, one of these two levels being confining while the second dissociates. We show that the survival probability associated to a certain initial state is a sum of the usual time-dependent exponential contribution, and a reminder term that is jointly polynomially small with respect to the time and the semiclassical parameter. We also compute explicitly the main contribution of the remainder.
Type de document :
Pré-publication, Document de travail
37 pages, 1 figure. 2018
Liste complète des métadonnées
Contributeur : Stéphanie Suciu <>
Soumis le : vendredi 21 décembre 2018 - 10:53:14
Dernière modification le : dimanche 23 décembre 2018 - 01:24:04

Lien texte intégral


  • HAL Id : hal-01963156, version 1
  • ARXIV : 1812.08724



Philippe Briet, André Martinez. Molecular dynamics at an energy-level crossing. 37 pages, 1 figure. 2018. 〈hal-01963156〉



Consultations de la notice