Title
Slater sum for an inhomogeneous liquid of Fermions generated by a <tex>$sech^{2}x$</tex> potential in one dimension Slater sum for an inhomogeneous liquid of Fermions generated by a <tex>$sech^{2}x$</tex> potential in one dimension
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
London ,
Subject
Physics
Source (journal)
Physics and chemistry of liquids. - London
Volume/pages
48(2010) :2 , p. 285-287
ISSN
0031-9104
ISI
000277647300011
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In one dimension, the Slater sum S(x, β), which is the diagonal element of the canonical density matrix, satisfies a known partial differential equation characterised by a one-body potential V(x). Here, for the case of a sech2 x potential in one dimension, it is stressed that S(x, β) is explicitly related to the limit S0(β) as V(x) → 0 and to V(x) itself. This is the same input information as in the Thomas-Fermi result. The relevance to density functional theory is emphasised.
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