Eur. Phys. J. D 15, 215-219 (2001)
https://doi.org/10.1007/s100530170168

Effective resolvent applied to interacting resonances

¹ Laboratoire de Physique Quantique (UMR 5626 du CNRS) , Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 4, France
² Instituto de Matemáticas y Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain
³ Physical and Theoretical Chemistry Laboratory, South Parks Road, Oxford OX1 3QZ, UK

Corresponding author: ^a gadea@irsamc.ups-tlse.fr

Received: 25 January 2001
Revised: 11 May 2001
Published online: 15 August 2001

Abstract

The wave operator theory of quantum dynamics is applied to characterize coupled metastable states. The theory extends to quasi bound states methods which are standard for dealing with bound levels. It is shown that interacting resonances can be investigated by means of small-dimensional effective Hamiltonians containing all the significant information of intrinsic properties which drive the various dynamical processes taking place. The study of the vibrational predissociation of I₂Ne, mediated by intramolecular energy redistribution, illustrates the power of the method. In addition to its accuracy to determine spectroscopic profiles and survival probabilities, it results more efficient than usual energy or time-domain numerical calculations.