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Resonances The Unifying Route Towards the Formulation of Dynamical Processes Foundations and Applications in Nuclear, Atomic and Molecular Physics pp 345–382Cite as

Multichannel complex scaled Titchmarsh Weyl theory a model for diatomic fragmentation

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Part of the book series: Lecture Notes in Physics ((LNP,volume 325))

Abstract

A single channel Titchmarsh-Weyl resonance scattering theory is extended to a coupled equations formulation. It is demonstrated that the intrinsic simplicity of the theory persists also in the multichannel case. Explicit theorems in connection with the multichannel case are proved, and simple Wronskian expressions for resonant scattering wave functions and related physical quantities are derived. The computational features are illustrated by an application to a non-trivial curve crossing problem. The numerical results display the detailed behaviour of resonance poles in the complex plane. The relevant diabatic and/or adiabatic limits as well as the effect of the strength of the interaction on the resonance structures are studied. Applications to the modeling of laser photofragment spectroscopy data are finally mentioned

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Authors and Affiliations

  1. Department. of Quantum Chemistry, University of Uppsala, Box 518, S-751 20, Uppsala, Sweden

    Erkki Brändas

  2. Manne Siegbahn Institute of Physics, Frescativägen 24, S-014 05, Stockholm, SWEDEN

    Magnus Rittby & Nils Elander

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  1. Erkki Brändas
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  2. Magnus Rittby
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  3. Nils Elander
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Erkki Brändas Nils Elander

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© 1989 Springer-Verlag

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Brändas, E., Rittby, M., Elander, N. (1989). Multichannel complex scaled Titchmarsh Weyl theory a model for diatomic fragmentation. In: Brändas, E., Elander, N. (eds) Resonances The Unifying Route Towards the Formulation of Dynamical Processes Foundations and Applications in Nuclear, Atomic and Molecular Physics. Lecture Notes in Physics, vol 325. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-50994-1_49

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  • DOI: https://doi.org/10.1007/3-540-50994-1_49

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