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
Faculty of Sciences. Physics

article

2006
Lancaster, Pa
, 2006

Physics

Physical review : A : atomic, molecular and optical physics. - Lancaster, Pa, 1990 - 2015

74(2006)
, p. 054503,1-054503,3

1094-1622

1050-2947

054503

E-only publicatie

English (eng)

University of Antwerp

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.

https://repository.uantwerpen.be/docman/irua/5ef4fb/7968.pdf

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