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On the width of resonances

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

A method to get both upper and lower bounds on real and imaginary parts of resonance eigenvalues is extended to Schrödinger operators with exterior dilation analytic potential. We apply it to a simple model potential where the bound states and resonances are exactly known.

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Authors and Affiliations

  1. Department of Mathematics, California Institute of Technology, Pasadena, California, USA

    Heinz K. H. Siedentop

Authors
  1. Heinz K. H. Siedentop
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Additional information

On leave of absence from Institut für Mathematische Physik, TU Braunschweig, D-3300 Braunschweig, Federal Republic of Germany

The author thanks E. Harrell for drawing his attention to the exterior complex scaling, M. Ashbaugh for various helpful discussions, and K. Yajima and B. Simon for explaining their papers to me. Financial support by the DAAD through a NATO fellowship and hospitality by the Department of Mathematics at Caltech is gratefully acknowledged.

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Siedentop, H.K.H. On the width of resonances. Z Physik A 316, 367–369 (1984). https://doi.org/10.1007/BF01439910

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  • DOI: https://doi.org/10.1007/BF01439910

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