We study the survival probability associated with a semiclassical matrix Schroedinger 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.
Estimates on the molecular dynamics for the predissociation process / Briet, Philippe; Martinez, André. - In: JOURNAL OF SPECTRAL THEORY. - ISSN 1664-039X. - STAMPA. - 7:(2017), pp. 487-517. [10.4171/JST/170]
Estimates on the molecular dynamics for the predissociation process
MARTINEZ, ANDRE' GEORGES
2017
Abstract
We study the survival probability associated with a semiclassical matrix Schroedinger 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.