Title
Correlated kinetic energy density functional of ground states of harmonically confined two-electron atoms for arbitrary interparticle interaction Correlated kinetic energy density functional of ground states of harmonically confined two-electron atoms for arbitrary interparticle interaction
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Stockholm ,
Subject
Physics
Source (journal)
Physica scripta. - Stockholm
Volume/pages
85(2012) :6 , 2 p.
ISSN
0031-8949
Article Reference
065303
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Utilizing the earlier work of Holas et al (2003 Phys. Lett. A 310 451) and the more recent contribution of Akbari et al (2009 Phys. Rev. A 80 032509), we construct an integral equation for the relative motion (RM) contribution t(RM)(r) to the correlated kinetic energy density for modelling two-electron atoms with harmonic confinement but arbitrary interparticle interaction. It is stressed that t(RM) = t(RM)[f (G)], where f (G) is the atomic scattering factor: the Fourier transform of the density rho(r). As a simple illustrative example of this functional relation for the correlated kinetic energy density, the harmonic Moshinsky case is investigated, the scattering factor then having a Gaussian form.
E-info
https://repository.uantwerpen.be/docman/iruaauth/9c9308/0cc2553.pdf
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