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Scattering matrix, phase shift, spectral shift and trace formula for one-dimensional Schrödinger-type operators

Please always quote using this URN:urn:nbn:de:0296-matheon-4569
  • The paper is devoted to Schroedinger operators on bounded intervals of the real axis with dissipative boundary conditions. In the framework of the Lax-Phillips scattering theory the asymptotic behaviour of the phase shift is investigated in detail and its relation to the spectral shift is discussed, in particular, trace formula and Birman-Krein formula are verified directly. The results are used for dissipative Schroedinger-Poisson systems.

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Metadaten
Author:Hagen Neidhardt, Joachim Rehberg
URN:urn:nbn:de:0296-matheon-4569
Referee:Alexander Mielke
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2008/02/19
Release Date:2008/01/02
Tag:
Institute:Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
MSC-Classification:47-XX OPERATOR THEORY / 47Axx General theory of linear operators / 47A20 Dilations, extensions, compressions
47-XX OPERATOR THEORY / 47Axx General theory of linear operators / 47A40 Scattering theory [See also 34L25, 35P25, 37K15, 58J50, 81Uxx]
47-XX OPERATOR THEORY / 47Bxx Special classes of linear operators / 47B44 Accretive operators, dissipative operators, etc.
Preprint Number:449
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