A hybrid kinetic-quantum model for stationary electron transport
Interface conditions between a classical transport model described by the Boltzmann equation, and a quantum transport model described by a set of Schrödinger equations are presented in a one-dimensional stationary formulation. These interface conditions, derived by an asymptotic analysis of Wigner transform, are shown to be flux-preserving, and are then used to construct a hybrid model consisting of a quantum zone surrounded by two classical ones. The author shows that the hybrid model is well-posed when the potential is either prescribed or computed self-consistently, and that the semiclassical limit of the problem gives the right interface conditions between two kinetic regions. The model can be used for the description of far-from-equilibrium electron transport in a resonant tunneling diode.
scientific article; zbMATH DE number 1279370