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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.

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Metadaten
Author:Hans-Christoph Kaiser, Hagen Neidhardt, Joachim Rehberg
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
Tag:
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
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