Mathematical Models for Transport in Macroscopic and Mesoscopic Systems - Abstract

Gudmundsson, Vidar

Magnetotransport through systems embedded in a quantum wire

We show how transport in a 2D-quantum wire in a perpendicular magnetic field can be described using the Lippmann-Schwinger scattering formalism. The concept of coupled channel transport will be introduced, and the interplay between geometry and the magnetic field will be investigated for embedded subsystems as quantum dots, antidots, and rings. We introduce the extension of this formalism to the time-domain.