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.
Titolo: | Estimates on the molecular dynamics for the predissociation process | |
Autore/i: | Briet, Philippe; MARTINEZ, ANDRE' GEORGES | |
Autore/i Unibo: | ||
Anno: | 2017 | |
Rivista: | ||
Digital Object Identifier (DOI): | http://dx.doi.org/10.4171/JST/170 | |
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. | |
Data stato definitivo: | 2017-09-04T09:55:34Z | |
Appare nelle tipologie: | 1.01 Articolo in rivista |
File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.