03-68 Michael Baro, Hans-Christoph Kaiser, Hagen Neidhardt, and Joachim Rehberg
A quantum transmitting Schroedinger-Poisson system (696K, pdf) Feb 20, 03
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Abstract. We consider a stationary Schroedinger-Poisson system on a bounded interval of the real axis. The Schroedinger operator is defined on the bounded domain with transparent boundary conditions. This allows to model a non-zero current flow trough 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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