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Fast Calculation of Energy and Mass preserving solutions of Schrödinger-Poisson systems on unbounded domains

Please always quote using this URN:urn:nbn:de:0296-matheon-1715
  • This paper deals with the numerical solution of the time{dependent Schroedinger- Poisson system in the spherically symmetric case. Since the problem is posed on an unbounded domain one has to introduce artificial boundary conditions to confine the computational domain. The main topic of this work is the construction of a so-called discrete transparent boundary condition (TBC) for a Crank-Nicolsontype predictor-corrector scheme for solving the Schroedinger-Poisson system. This scheme has the property of mass and energy conservation exactly on the discrete level. We propose different strategies for the discrete TBC and present an efficient implementation. Finally, a numerical example illustrate the findings and shows the comparison results between the different approaches.

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Metadaten
Author:Matthias Ehrhardt, Andrea Zisowsky
URN:urn:nbn:de:0296-matheon-1715
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2004/08/10
Release Date:2004/08/10
Institute:Technische Universität Berlin
Preprint Number:162
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