Title
s-Wave component of the ground-state electron density in the Hookean model compared with the helium atom s-Wave component of the ground-state electron density in the Hookean model compared with the helium atom
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Amsterdam ,
Subject
Physics
Chemistry
Source (journal)
Chemical physics letters. - Amsterdam
Volume/pages
413(2005) :1-3 , p. 168-170
ISSN
0009-2614
ISI
000231929400031
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
From the exact ground-state wave function of the two-electron Hookean atom, in which the Coulombic repulsion energy e(2)/r(12) between electrons 1 and 2 at separation r(12) is retained but the confinement is harmonic with external potential kr(2)/2, the s-wave component is extracted for force constant k = 1/4. The radial electron density for this l = 0 component is compared with that for the exact ground-state density, and they are quantitatively very similar. Finally, a linear differential equation is found for the s-wave density and this equation is compared and contrasted with the known result for the exact case. (c) 2005 Elsevier B.V. All rights reserved.
E-info
https://repository.uantwerpen.be/docman/iruaauth/40bca3/76d2239.pdf
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