Transparent boundary conditions for quantum-waveguide simulations

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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Year of publication:	2008
Authors:	Arnold, Anton ; Schulte, Maike
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 79.2008, 4, p. 898-905
Publisher:	Elsevier
Subject:	Quantum waveguide \| Schrödinger equation \| Transparent boundary condition \| Finite difference scheme

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011051117