Please use this identifier to cite or link to this item: doi:10.22028/D291-26169
Title: Mathematical concepts of open quantum boundary conditions
Author(s): Arnold, Anton
Language: English
Year of Publication: 2000
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: This paper is concerned with the derivation and the numerical discretization of open boundary conditions for the 1D Schrödinger equation in order to simulate quantum devices. New discrete transparent boundary conditions are presented that are able to handle the situation of a continuous plane wave influx into a device. Also, we give a review of various formulations of boundary conditions that are used within the Schrödinger and the Wigner formalism of quantum mechanics, and we discuss their mathematical properties.
Link to this record: urn:nbn:de:bsz:291-scidok-42913
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 11
Date of registration: 4-Nov-2011
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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