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.
Author: | Jussi Behrndt, Hagen Neidhardt, Joachim Rehberg |
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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 |