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A relationship between Gel'fand-Levitan and Marchenko kernels

  • Nuclear Structure and Reactions
  • Published:
Zeitschrift für Physik A Atomic Nuclei

Abstract

A new integral equation which relates the output kernels of the Gel'fand-Levitan and Marchenko inverse scattering equations in a continuous range of their variables is specified. Structural details of this integral equation are studied when theS-matrix is a rational function, and the output kernels are separable in terms of Bessel, Hankel and Jost solutions.

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References

  1. Kirst, Th., Amos, S.K., Berge, L., Coz, M., v. Geramb, H.V.: Phys. Rev. C40, 912 (1989)

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Author notes

  1. K. A. Amos

    Present address: School of Physics, University of Melbourne, 3052, Parkville, Victoria, Australia

Authors and Affiliations

  1. Theoretische Kernphysik, Universität Hamburg, Germany

    Th. Kirst, H. V. von Geramb & K. A. Amos

Authors
  1. Th. Kirst
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  2. H. V. von Geramb
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  3. K. A. Amos
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Additional information

This work was supported in part by the Herbert Quandt-Stiftung der VARTA AG (1989).

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Kirst, T., von Geramb, H.V. & Amos, K.A. A relationship between Gel'fand-Levitan and Marchenko kernels. Z. Physik A - Atomic Nuclei 336, 365–367 (1990). https://doi.org/10.1007/BF01294108

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  • DOI: https://doi.org/10.1007/BF01294108

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