Molecular dynamics at an energy-level crossing

2018/12/20 by Philippe Briet, Briet, Philippe, André Martínez +1
Physics and Astronomy · #35C20 #35P15 #35S99 #47A75 #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum many-body systems #Spectroscopy and Quantum Chemical Studies

paper · doi:10.48550/arxiv.1812.08724

openalex publication_date 2018/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is a continuation of a previous work about the study of the survival probability modelizing the molecular predissociation in the Born-Oppenheimer framework. Here we consider the critical case where the reference energy corresponds to the value of a crossing of two electronic levels, one of these two levels being confining while the second dissociates. We show that the survival probability associated to a certain initial state is a sum of the usual time-dependent exponential contribution, and a reminder term that is jointly polynomially small with respect to the time and the semiclassical parameter. We also compute explicitly the main contribution of the remainder.

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