Estimates On The Molecular Dynamics For The Predissociation Process

Abstract : We study the survival probability associated with a semi-classical matrix Shrödinger 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.
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Philippe Briet, André Martinez. Estimates On The Molecular Dynamics For The Predissociation Process. Journal of Spectral Theory, European Mathematical Society, 2017, 7 (2), pp.487-517. 〈10.4171/JST/170〉. 〈hal-01132939v3〉

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