Contributions to Books:
A. Arnold, M. Schulte:
"Transparent boundary conditions for Quantum-Waveguide Simulations";
in: "ASC Report 05/2007",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2007,
ISBN: 978-3-902627-00-1.
English abstract:
We consider the two-dimensional, time-dependent Schr¨odinger 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.
Keywords:
Quantum waveguide, Schrödinger equation, transparent boundary condition, finite difference scheme
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2007/asc05x2007.pdf
Related Projects:
Project Head Anton Arnold:
Numerik und Asymptotik mikroskopischer und makroskopischer Gleichungen für Quantensysteme
Created from the Publication Database of the Vienna University of Technology.