Title
The key role of electron-nuclear potential energy in determining the ground-state energy of inhomogeneous electron liquids in both real and model atoms The key role of electron-nuclear potential energy in determining the ground-state energy of inhomogeneous electron liquids in both real and model atoms
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
London ,
Subject
Physics
Chemistry
Source (journal)
Physics and chemistry of liquids. - London
Volume/pages
52(2014) :4 , p. 576-582
ISSN
0031-9104
ISI
000337604100010
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Recent density functional theory (DFT) work of Gl and March (GM) on the groundstate energy E of a two- electron model atom (like He but with inverse square law interparticle repulsion) related E to the electron- nuclear potential energy Uen by E = d1=2_Uen. Also the model of GM satisfies E = 2Uen, but now with harmonic confinement. While modern non- relativistic DFT requires numerical treatment of real atoms, in the exact limit of DFT at large Z, the Thomas- Fermi (TF) theory is regained, where much analytical work can be done. This yields, as Z -> 1, the non- relativistic energy of such neutral atoms as E = d3=7_Uen. The correlated
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