Computer simulation of quantum phenomena in nano-scale devices

This paper reviews the general concepts for building algorithms to solve the time-dependent Schrödinger equation and to discuss ways of turning these concepts into unconditionally stable, accurate and efficient simulation algorithms. Applications to focussed electron emission from nano-scale sources, mesoscopic normal-metal-superconductor devices, and charged-particle interferometry, combining features of both the Aharonov-Bohm and Hanbury Brown-Twiss experiment illustrate the power and flexibility of the simulation method