On one dimensional dissipative Schroedinger-type operators, their dilations and eigenfunction expansions
Please always quote using this URN:urn:nbn:de:0296-matheon-4517
- We study in detail Schroedinger-type operators on a bounded interval of the real axis with dissipative boundary conditions. The characteristic function of such operators is computed, its minimal self-adjoint dilation is constructed and the generalized eigenfunction expansion for the dilation is developed. The problem is motivated by semiconductor physics.
Author: | Hans-Christoph Kaiser, Hagen Neidhardt, Joachim Rehberg |
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URN: | urn:nbn:de:0296-matheon-4517 |
Referee: | Alexander Mielke |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2008/02/19 |
Release Date: | 2008/01/02 |
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Institute: | Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) |
MSC-Classification: | 47-XX OPERATOR THEORY / 47Bxx Special classes of linear operators / 47B44 Accretive operators, dissipative operators, etc. |
47-XX OPERATOR THEORY / 47Exx Ordinary differential operators [See also 34Bxx, 34Lxx] / 47E05 Ordinary differential operators [See also 34Bxx, 34Lxx] (should also be assigned at least one other classification number in section 47) | |
Preprint Number: | 439 |