Publication
Title
Some pointers towards a future orbital-free density functional theory of inhomogeneous electron liquids
Author
Abstract
Recent work by Gaacutel and March has been concerned with a model two-electron atom in which electron-nuclear Coulomb attraction is replaced by harmonic confinement. Furthermore, the interfermion interaction u(r12) between electrons at separation r12 is taken to be of inverse square form GPCH_A_445891_O_XML_IMAGES\GPCH_A_445891_O_ILM0001.gif With these model simplifications, it then proves possible to obtain an exact analytical expression for the ground-state energy density functional. Turning to current usage of density functional theory of inhomogeneous Fermion liquids, in terms of a one-body potential V(r), the single-particle (s) kinetic energy functional Ts[n] is next considered, for the experimentally interesting case of ultracold Fermion vapours which are magnetically trapped. This is again the case of harmonic confinement. Results for Ts[n] for different dimensionalities have been obtained analytically for such systems and are summarized. The intimate relationship between this kinetic energy Ts and the exchange energy Ex is then exhibited, the off-diagonal density, or idempotent Dirac density matrix now being invoked. In turn this latter quantity can be related to the ground-state density n(r) via a partial differential equation. Finally, some brief discussion is given of the, as yet unsolved, problem of the electron-electron correlation energy.
Language
English
Source (journal)
Physics and chemistry of liquids. - London
Publication
London : 2010
ISSN
0031-9104
Volume/pages
48:2(2010), p. 141-155
ISI
000277647300001
Full text (Publisher's DOI)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 21.06.2010
Last edited 03.11.2017
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