Macroscopic current induced boundary conditions for Schrödinger-type operators. (Q1865896)

The goal of the authors is the embedding of a quantum mechanically described structure into a macroscopic flow. To this end they consider the quantum system as an open one and describe it by an essentially non-selfadjoint Hamiltonian. The nonsymmetric part in the corresponding form is twofold. There is a purely imaginary boundary term providing a coupling to the macroscopic flow, and there is a complex-valued potential, whose imaginary part reflects absorptive and dispersive properties of the substrate. The spectral properties of the corresponding Schrödinger-type operator is investigated.