A quantum transmitting Schrödinger-Poisson system
- Baro, Michael
- Kaiser, Hans-Christoph
- Neidhardt, Hagen
- Rehberg, Joachim
We consider a stationary Schrödinger-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.
- Reviews in Mathematical Physics, 2004, Vol. 16, No. 3, pp. 281-330