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Effective resolvent applied to interacting resonances

  • F.X. Gadéa
  • Ph. Durand
  • T. González-Lezana
  • G. Delgado-Barrio
  • P. Villarreal

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.

PACS. 33.40.+f Multiple resonances (including double and higher-order resonance processes, such as double nuclear magnetic resonance, electron double resonance, and microwave optical double resonance) – 33.80.Gj Diffuse spectra; predissociation, photodissociation – 34.30.+h Intramolecular energy transfer; intramolecular dynamics; dynamics of van der Waals molecules 

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Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2001

Authors and Affiliations

  • F.X. Gadéa
    • 1
  • Ph. Durand
    • 1
  • T. González-Lezana
    • 2
  • G. Delgado-Barrio
    • 2
  • P. Villarreal
    • 2
  1. 1.Laboratoire de Physique Quantique, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 4, FranceFR
  2. 2.Instituto de Matemáticas y Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, SpainES

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