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Behrndt, Jussi [Author]; Neidhardt, Hagen [Author]; Rehberg, Joachim [Author]

Block operator matrices, optical potentials, trace class perturbations and scattering

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  • Media type: Text; Report; E-Book
  • Title: Block operator matrices, optical potentials, trace class perturbations and scattering
  • Contributor: Behrndt, Jussi [Author]; Neidhardt, Hagen [Author]; Rehberg, Joachim [Author]
  • Published: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2005
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.1076
  • Keywords: Feshbach decomposition -- optical potential -- Lax-Phillips scattering theory -- dissipative scatteringtheory -- scattering matrix -- characteristicfunction -- dissipative operators ; 47A40 ; 47A55 ; 47B44 ; article
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: For an operator-valued block-matrix model, which is called in quantum physics a Feshbach decomposition, a scattering theory is considered. Under trace class perturbation the channel scattering matrices are calculated. Using Feshbach's optical potential it is shown that for a given spectral parameter the channel scattering matrices can be recovered either from a dissipative or from a Lax-Phillips scattering theory.