Publication
Title
Complete functional theory for the fermion density of independent particles subject to harmonic confinement in d dimensions for an arbitrary number of closed shells
Author
Abstract
In earlier work, expressions have been constructed for the single-particle kinetic-energy functional T-s[rho] for independent fermions subject to harmonic confinement in low dimensions, with rho the particle density. Here, the differential equation for rho is first obtained in d dimensions for an arbitrary number of closed shells. Then, by using the known Euler-Lagrange equation, the functional derivative deltaT(s)/deltarho(r) is constructed. T-s[rho] itself is proved to take the form of a linear combination of three pieces: (i) a von Weizsacker inhomogeneity kinetic energy, but with the original coefficient reduced by a dimensionality factor 1/d, (ii) a Thomas-Fermi kinetic energy, and (iii) a truly nonlocal contribution that, however, is shown to involve only the density rho itself and its first derivative. Thus, for this model, which is currently highly relevant to the interpretation of experiments on the evaporative cooling of dilute, and hence almost noninteracting, fermions, a complete density-functional theory now exists.
Language
English
Source (journal)
Physical review : A : atomic, molecular and optical physics. - Lancaster, Pa, 1990 - 2015
Publication
Lancaster, Pa : 2002
ISSN
1094-1622 [online]
1050-2947 [print]
Volume/pages
66:5(2002), p. 054501,1-054501,4
Article Reference
054501
ISI
000179631900143
Medium
E-only publicatie
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 24.02.2012
Last edited 23.06.2017
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