Published March 13, 2006
| Version v1
Journal article
A confined noninteracting many electron system: Accurate corrections to a statistical model
Creators
- 1. Department of Chemistry, McMaster University, 1280 Main St. West, Hamilton, ON L8S 4M1 (Canada)
Description
We derive a correction term to the Fermi-Dirac energy for the system of Nel noninteracting electrons confined to a cube with sides of infinite potential. This correction term is compared to one derived by Pauncz [R. Pauncz, Acta Physica Academiae Scientarium Hungaricae 1 (1952) 277]. Both models are compared to the exact quantum mechanical result with systems of 1 to 5000 electrons being considered. Agreement is seen to increase with particle number
Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2005.11.034;
- PII
- S0375-9601(05)01771-8;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 351
- Journal Issue
- 6
- Journal Page Range
- p. 439-445
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37068631
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CORRECTIONS; ELECTRONS; QUANTUM DOTS; QUANTUM MECHANICS; STATISTICAL MODELS
- Descriptors DEC
- ELEMENTARY PARTICLES; FERMIONS; LEPTONS; MATHEMATICAL MODELS; MECHANICS; NANOSTRUCTURES
Optional Information
- Copyright
- Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.