Transparent boundary conditions for quantum-waveguide simulations
We consider the two-dimensional, time-dependent Schrodinger equation discretized with the Crank-Nicolson finite difference scheme. For this difference equation we derive discrete transparent boundary conditions (DTBCs) in order to get highly accurate solutions for open boundary problems. We apply inhomogeneous DTBCs to the transient simulation of quantum waveguides. with a prescribed electron inflow. (C) 2008 IMACS. Published by Elsevier B.V. All rights reserved.
transparent boundary condition schrodinger equation finite difference scheme quantum waveguide