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Dilation analytic methods

  • Part VI - Other Applications of Scattering Theory Methods
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Book cover Models and Methods in Few-Body Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 273))

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Abstract

Complex scaling and some of its variants are reviewed. Bounds on resonances (energy and lifetimes) are derived by combining the complex scaling methods with a variational principle for the multiplicity of eigenvalues and a generalization of Rouché's theorem for meromorphic functions with values in some trace ideal. — The method is illustrated with a particular simple example, a particle in a well.

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Authors and Affiliations

  1. Institut für Mathematische Physik, Technische Universität Carolo- Wilhelmina, Mendelssohnstraße 3, 3300, Braunschweig, Germany

    Heinz K. H. Siedentop

Authors
  1. Heinz K. H. Siedentop
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Editor information

L. S. Ferreira A. C. Fonseca L. Streit

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© 1987 Springer-Verlag

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Siedentop, H.K.H. (1987). Dilation analytic methods. In: Ferreira, L.S., Fonseca, A.C., Streit, L. (eds) Models and Methods in Few-Body Physics. Lecture Notes in Physics, vol 273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17647-0_43

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  • DOI: https://doi.org/10.1007/3-540-17647-0_43

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17647-3

  • Online ISBN: 978-3-540-47736-5

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