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EnglishWe 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 |
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http://hdl.handle.net/11585/607027
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