We study the survival amplitude 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 reminder term that is small relative to the semiclassical parameter, and for which we find the main contribution. 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.
Briet, P., Martinez, A.G. (2016). Dynamique moléculaire de la prédissociation. COMPTES RENDUS MATHÉMATIQUE, 354(9), 912-915 [10.1016/j.crma.2016.06.003].
Dynamique moléculaire de la prédissociation
MARTINEZ, ANDRE' GEORGES
2016
Abstract
We study the survival amplitude 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 reminder term that is small relative to the semiclassical parameter, and for which we find the main contribution. 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
