Title
Many-fermion systems : differential equations and kinetic energy functionals for different confining potentials Many-fermion systems : differential equations and kinetic energy functionals for different confining potentials
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
New York, N.Y. ,
Subject
Mathematics
Physics
Chemistry
Source (journal)
International journal of quantum chemistry. - New York, N.Y.
Source (book)
9th International Conference on Application of the Density Functional Theory to Chemistry and Physics, SEP 10-14, 2001, MADRID, SPAIN
Volume/pages
91(2003) :2 , p. 119-125
ISSN
0020-7608
ISI
000180236600007
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Determination of the kinetic energy functional is one of the central problems in the density functional theory of a many-fermion system. We consider several many-fermion systems to be characterized by simple confining potentials: the harmonic oscillator potential in one and three dimensions, the Coulomb potential, and the potential V(x) = -U(o)sech(2)(x/L). We discuss for each of these cases the differential equation that determines the fermion density in the given potential, and the corresponding kinetic energy density. (C) 2002 Wiley Periodicals, Inc.
E-info
https://repository.uantwerpen.be/docman/iruaauth/c15b99/3ac6687.pdf
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