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

Please always quote using this URN:urn:nbn:de:0296-matheon-4570
  • 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.

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Metadaten
Author:Jussi Behrndt, Hagen Neidhardt, Joachim Rehberg
URN:urn:nbn:de:0296-matheon-4570
Referee:Alexander Mielke
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2008/02/19
Release Date:2008/01/02
Tag:
MSC-Classification:47-XX OPERATOR THEORY / 47Axx General theory of linear operators / 47A40 Scattering theory [See also 34L25, 35P25, 37K15, 58J50, 81Uxx]
47-XX OPERATOR THEORY / 47Axx General theory of linear operators / 47A55 Perturbation theory [See also 47H14, 58J37, 70H09, 81Q15]
47-XX OPERATOR THEORY / 47Bxx Special classes of linear operators / 47B44 Accretive operators, dissipative operators, etc.
Preprint Number:442
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