TY - GEN A1 - Baro, Michael A1 - Neidhardt, Hagen T1 - Dissipative Schrödinger-type operator as a model for generation and recombination N2 - Non-selfadjoint operators play an important role in the modeling of open quantum systems. We consider a one-dimensional Schroedinger-type operator with dissipative boundary conditions and dissipative delta potentials. An explicit description of the characteristic function, the minimal dilation and the generalized eigenfunctions of the dilation is given. The quantities of carrier and current densities are rigorously defined. Furthermore we will show that the current is not constant and that the variation of the current depend essentially on the chosen density matrix and imaginary parts of the delta potentials. This correspondence can be used to model a recombination-generation rate in the open quantum system. KW - open quantum system KW - dissipative Schroedinger operator KW - delta perturbation KW - dilation KW - characteristic function KW - generalized eigenfunctions KW - carrier and current densities KW - density matrix Y1 - 2008 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/450 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-4507 ER -