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A Simple Model for Predissociation

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Mathematical Results in Quantum Mechanics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 70))

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Abstract

We analyse a very simple class of one dimensional two by two matrix Schrödinger operators. Their diagonal part has embedded eigenvalues in the continuous spectrum which become resonances when the off-diagonal part is turned on. Our analysis is semiclassical and contains a regular perturbative calculus of these resonances, asymptotics of the Fermi rule contribution to the width of these as well as lower bounds on the corresponding life time.

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Author information

Authors and Affiliations

  1. Centre de Physique Théorique, CNRS, Luminy, Case 907, F-13288, Marseille Cedex 9, France

    P. Duclos

  2. PhyMat, Université de Toulon et du Var, BP 132, F-83957, La Garde Cedex, France

    B. Meller

Authors
  1. P. Duclos
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  2. B. Meller
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Editor information

Editors and Affiliations

  1. Technische Universität Clausthal, Institut für Mathematik, Erzstrasse 1, D-38678, Clausthal-Zellerfeld, Germany

    M. Demuth

  2. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Head Post Office Box 79, Moscow, Russia

    P. Exner

  3. Fachbereich Mathematik MA 7-2, Technische Universität Berlin, Strasse des 17. Juni 136, D-10623, Berlin, Germany

    H. Neidhardt

  4. Université d’Aix-Marseille II et, Centre de Physique Théorique, CNRS — Luminy — Case 907, F-13288, Marseille Cedex 9, France

    V. Zagrebnov

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© 1994 Springer Basel AG

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Duclos, P., Meller, B. (1994). A Simple Model for Predissociation. In: Demuth, M., Exner, P., Neidhardt, H., Zagrebnov, V. (eds) Mathematical Results in Quantum Mechanics. Operator Theory: Advances and Applications, vol 70. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8545-4_13

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  • DOI: https://doi.org/10.1007/978-3-0348-8545-4_13

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9673-3

  • Online ISBN: 978-3-0348-8545-4

  • eBook Packages: Springer Book Archive

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