A Kohn-Sham system at zero temperature
dc.bibliographicCitation.volume | 1293 | |
dc.contributor.author | Cornean, Horia | |
dc.contributor.author | Hoke, Kurt | |
dc.contributor.author | Neidhardt, Hagen | |
dc.contributor.author | Racec, Paul Nicolae | |
dc.contributor.author | Rehberg, Joachim | |
dc.date.accessioned | 2016-03-24T17:38:20Z | |
dc.date.available | 2019-06-28T08:02:59Z | |
dc.date.issued | 2008 | |
dc.description.abstract | An one-dimensional Kohn-Sham system for spin particles is considered which effectively describes semiconductor nanostructures and which is investigated at zero temperature. We prove the existence of solutions and derive a priori estimates. For this purpose we find estimates for eigenvalues of the Schrödinger operator with effective Kohn-Sham potential and obtain $W^1,2$-bounds of the associated particle density operator. Afterwards, compactness and continuity results allow to apply Schauder's fixed point theorem. In case of vanishing exchange-correlation potential uniqueness is shown by monotonicity arguments. Finally, we investigate the behavior of the system if the temperature approaches zero. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/1836 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1955 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.ispartofseries | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik, Volume 1293, ISSN 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject | Kohn-Sham systems | eng |
dc.subject | Schrödinger-Poisson systems | eng |
dc.subject | non-linear operators | eng |
dc.subject | density operator | eng |
dc.subject | zero temperature | eng |
dc.subject | Fermi-Dirac distribution | eng |
dc.subject.ddc | 510 | eng |
dc.title | A Kohn-Sham system at zero temperature | eng |
dc.type | report | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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