Title Density-potential relation via the single-particle kinetic energy density for one-dimensional two-level fermion systems with application to Be-like atomic ions in the $(1s)^{2}(2s)^{2}$ configuration Author Howard, I.A. March, N.H. Faculty/Department Faculty of Sciences. Physics Publication type article Publication 2006 Lancaster, Pa , 2006 Subject Physics Source (journal) Physical review : A : atomic, molecular and optical physics. - Lancaster, Pa, 1990 - 2015 Volume/pages 74(2006) , p. 054503,1-054503,3 ISSN 1094-1622 1050-2947 Article Reference 054503 Carrier E-only publicatie Target language English (eng) Full text (Publishers DOI) Affiliation University of Antwerp Abstract Using the Dawson-March transformation of two-level wave functions in terms of density amplitude and phase, a differential equation is constructed relating the single-particle kinetic energy to the fermion density. Employing then the differential form of the virial theorem derived by March and Young [Nucl. Phys. 12, 237 (1959)], a nonlinear electron-density-one-body potential relation emerges. Application to the Be-like atomic ions is briefly considered. Full text (open access) https://repository.uantwerpen.be/docman/irua/5ef4fb/7968.pdf E-info http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000242408900173&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000242408900173&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848 Handle