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A quantum transmitting Schroedinger-Poisson system

Please always quote using this URN:urn:nbn:de:0296-matheon-554
  • We study a stationary Schrödinger-Poisson system on a bounded interval of the real axis. The Schrödinger operator is defined on the bounded domain with transparent boundary conditions. This allows us to model a non-zero current through the boundary of the interval. We prove that the system always admits a solution and give explicit a priori estimates for the solutions.

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Metadaten
Author:Michael Baro, Hans-Christoph Kaiser, Hagen Neidhardt, Joachim Rehberg
URN:urn:nbn:de:0296-matheon-554
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2004/01/23
Release Date:2004/01/21
Institute:Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
Preprint Number:47
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