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 <tex>$(1s)^{2}(2s)^{2}$</tex> configuration 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 <tex>$(1s)^{2}(2s)^{2}$</tex> configuration
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Lancaster, Pa ,
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
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