Estimates on the molecular dynamics for the predissociation process (Q5919827)

Summary: 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 remainder term that is exponentially small (in the semiclassical parameter) with arbitrarily large rate of decay. The result applies in any dimension, and in the presence of a number of resonances that may tend to infinity as the semiclassical parameter tends to 0.