Title
Non-local kinetic energy functional for an arbitrary number of Fermions moving independently in one-dimensional harmonic oscillator potential Non-local kinetic energy functional for an arbitrary number of Fermions moving independently in one-dimensional harmonic oscillator potential
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Amsterdam ,
Subject
Physics
Source (journal)
Physics letters: A. - Amsterdam, 1967, currens
Volume/pages
270(2000) :1-2 , p. 88-92
ISSN
0375-9601
ISI
000087265200011
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
For one-dimensional Fermions bound by a general one-body potential V(x), the Pauli potential is first related to the kinetic energy and the particle density rho(x). For the model of the harmonic oscillator, V(x) = 1/2x(2), this equation leads to a non-local kinetic energy functional in which only first-order derivatives of rho(x) enter. This example shows the usefulness of a new concept, the Pauli function, which encompasses the Pauli principle in terms of the electronic density. For the harmonic oscillator model, the kinetic energy can then be expressed exactly in terms of the Thomas-Fermi kinetic energy functional, together with the von Weizsacker inhomogeneity term, but now in a fully non-local way. (C) 2000 Published by Elsevier Science B.V. All rights reserved.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/f55911/8320.pdf
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