A quantum transmitting Schrödinger-Poisson system
نویسندگان
چکیده
We consider 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 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. 2000 Mathematics Subject Classification: 34B24, 34L40, 47B44, 81U20, 82D37. 2003 Physics and Astronomy Classification Scheme (PACS): 85.35.-p
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