Please use this identifier to cite or link to this item: doi:10.22028/D291-26174
Title: Discrete transparent boundary conditions for the Schrödinger equation
Author(s): Arnold, Anton
Ehrhardt, Matthias
Language: English
Year of Publication: 2001
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: This paper is concerned with transparent boundary conditions for the one dimensional time-dependent Schrödinger equation. They are used to restrict the original PDE problem that is posed on an unbounded domain onto a finite interval in order to make this problem feasible for numerical simulations. The main focus of this article is on the appropriate discretization of such transparent boundary conditions in conjunction with some chosen discretization of the PDE (usually Crank-Nicolson finite differences in the case of the Schrödinger equation). The presented discrete transparent boundary conditions yield an unconditionally stable scheme and are completely reflection-free at the boundary.
Link to this record: urn:nbn:de:bsz:291-scidok-43445
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 31
Date of registration: 10-Nov-2011
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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