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.
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 |