Simulation of quantum transport of coherent electrons by solving the time-dependent Schrِdinger equation

In the present work, the coherent propagation of electrons is simulated by solving the time-dependent Schrِinger Equation. The underlying purpose of the present work is the simulation, design and analysis of novel high speed electronic devices based on coherent electrons. Electron propagation through periodic lattices of limited size is calculated. Bragg scattering and electron channeling along columns of atoms in the case of large scattering potentials are clearly observed in the simulation. The simulation also clearly demonstrates the transition from weak scattering (Born approximation) to the case of strong scattering. Since the quantum mechanical wave function is determined, the present work also allows the calculation of all quantum mechanical observables, such as current densities, etc. In addition, the present work visualizes quantum transport phenomena.