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Quantum dynamics for the molecular predissociation

Hold Date 2015-07-09 16:30~2015-07-09 17:30

Place Lecture Room L-2, Faculty of Mathematics building, Ito Campus

Object person  

Speaker Andre Martinez (Università di Bologna)

Date: Thursday, July 9, 2015
         16:00 - 16:30 (teatime in the lounge)
         16:30 - 17:30 (lectures in Lecture Room L-2)

Speaker:Andre Martinez (Università di Bologna)

Title:Quantum dynamics for the molecular predissociation

Abstract: We study the survival probability associated with a semiclassical matrix Schr\"odinger 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 exponentially small (in the semiclassical parameter) with arbitrarily large rate of decay. 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. This is a joint work with Ph. Briet.