- 03-68 Michael Baro, Hans-Christoph Kaiser, Hagen Neidhardt, and Joachim Rehberg
- A quantum transmitting Schroedinger-Poisson system
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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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