%0 Journal Article
%T Estimates on the molecular dynamics for the predissociation process
%A Philippe Briet
%A Andr¨¦ Martinez
%J Physics
%D 2015
%I arXiv
%X We study the survival probability associated with a semi-classical matrix Shr\"odinger 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 exponentially small (in the semiclassical parameter) with arbitrarily large rate of decay. 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.
%U http://arxiv.org/abs/1503.05507v3