| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1141169 | Mathematics and Computers in Simulation | 2008 | 8 Pages |
Abstract
We consider the two-dimensional, time-dependent Schrödinger 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.
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Authors
Anton Arnold, Maike Schulte,