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Generalization of Müller's variational principle

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Resonances The Unifying Route Towards the Formulation of Dynamical Processes Foundations and Applications in Nuclear, Atomic and Molecular Physics

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

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Abstract

A method for getting exclusion bounds on eigenvalues of nonnormal operators by using trial (left-)inverse operators is established. This method is extended to Siedentop's version of Müller's variational principle which changes the investigation of the operator into an investigation of the affiliated Birman-Schwinger-Rollnik kernel. The method is applied to the calculation of resonances by complex scaling and yields exact exclusion bounds for the resonances. Rough exclusion bounds for resonances in the case of potentials with compact support and dilation analytic potentials are pointed out.

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Authors and Affiliations

  1. Institut für Mathematische Physik, Technische Universität Braunschweig, D-3300, Braunschweig, Germany

    Geert-Ulrich Sölter

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  1. Geert-Ulrich Sölter
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Erkki Brändas Nils Elander

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© 1979 Springer-Verlag

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Sölter, GU. (1979). Generalization of Müller's variational principle. 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_36

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  • DOI: https://doi.org/10.1007/3-540-50994-1_36

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50994-3

  • Online ISBN: 978-3-540-46130-2

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