TY - GEN A1 - Baro, Michael A1 - Neidhardt, Hagen A1 - Rehberg, Joachim T1 - Current Coupling of Drift-Diffusion Models and Dissipative Schroedinger-Poisson Systems: Dissipative Hybrid Models N2 - A 1D coupled drift-diffusion dissipative Schroedinger model (hybrid model), which is capable to describe the transport of electrons and holes in semi-conductor devices in a non-equilibrium situation, is mathematically analyzed. The device domain is split into a part where the transport is well-described by the drift-diffusion equations (classical zone) and a part where a quantum description via a dissipative Schroedinger system (quantum zone) is used. Both system are coupled such that the continuity of the current densities is guaranteed. The electrostatic potential is self-consistently determined by Poisson's equation on the whole device. We show that the hybrid model is well-posed, prove existence of solutions and show their uniform boundedness provided the distribution function satisfy a so-called balance condition. The current densities are different from zero in the non-equilibrium case and uniformly bounded. Y1 - 2004 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/153 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-1538 ER -