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.
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 |