Transparent boundary conditions for quantum-waveguide simulations

Anton Arnold and Maike Schulte

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 79, issue 4, 898-905

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.

Keywords: Quantum waveguide; Schrödinger equation; Transparent boundary condition; Finite difference scheme (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2008:i:4:p:898-905

DOI: 10.1016/j.matcom.2008.02.002

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