Scattering matrix, phase shift, spectral shift and trace formula for one-dimensional dissipative Schrödinger-type operators
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,...
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Berlin
WIAS
2005
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| Schriftenreihe: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik
1045 |
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Tag hinzufügen | Zusammenfassung: | 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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| Beschreibung: | 26 S. |