Title Slater sum for an inhomogeneous liquid of Fermions generated by a $sech^{2}x$ potential in one dimensionSlater sum for an inhomogeneous liquid of Fermions generated by a $sech^{2}x$ potential in one dimension Author March, N.H. Nieto, L.M. Faculty/Department Faculty of Sciences. Physics Research group Department of Physics Publication type article Publication 2010London, 2010 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. E-info http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000277647300011&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000277647300011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848 Handle