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 hdl:20.500.11880/26225 http://dx.doi.org/10.22028/D291-26169 |
| 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 |
Files for this record:
| File | Description | Size | Format | |
|---|---|---|---|---|
| preprint_11_00.pdf | 319,81 kB | Adobe PDF | View/Open |
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