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Discrete Transparent Boundary Conditions for Time-Dependent Systems of Schrödinger Equations

Please always quote using this URN:urn:nbn:de:0296-matheon-1066
  • This work is concerned with transparent boundary conditions (TBCs) for systems of Schrödinger type equations, namely the time-dependent kp-Schrödinger equations. These TBCs have to be constructed for the discrete scheme, in order to maintain stability and to avoid numerical re ections. The discrete transparent boundary conditions (DTBCs) are constructed using the solution of the exterior problem with Laplace and Z-transformation respectively. Hence we will analyse the numerical error caused by the inverse Z-transformation. Since these DTBCs are non-local in time and thus very costly, we present approximate DTBCs, that allow a fast calculation of the boundary terms.

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Metadaten
Author:Andrea Zisowsky, Anton Arnold, Matthias Ehrhardt, Thomas Koprucki
URN:urn:nbn:de:0296-matheon-1066
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2004/03/29
Release Date:2004/03/24
Institute:Technische Universität Berlin
Preprint Number:104
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