Quantum Dynamics in Nano-Scale Devices

The purpose of this lecture is to introduce the general concepts for building al-gorithms to solve the time-dependent Schrödinger equation and to discuss ways of turning these concepts into unconditionally stable, accurate and ecient sim-ulation algorithms. The approach is illustrated using results of a computer sim-ulation study of charged-particle interferometry, combining features of both the Aharonov-Bohm and Hanbury Brown-Twiss experiment. 1