Abstract

In this paper we examine three aspects of electron–electron scaling: (i) the electron–electron repulsions are only scaled in Thomas–Fermi theory; (ii) the electron–electron repulsions are scaled, and the one electron potential is adjusted to give a prescribed density, in Thomas–Fermi–Dirac theory; and (iii) new approaches to the adiabatic connection formulas are presented to help improve the exchange–correlation functional. A new generalized two-point expression is presented. Models (i) and (ii) are solved exactly.

Keywords

Connection (principal bundle)ElectronAdiabatic processPhysicsFermi Gamma-ray Space TelescopeFermi gasScalingQuantum mechanicsDensity functional theoryElectronic correlationLimit (mathematics)Condensed matter physicsMathematicsMathematical analysisGeometry

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Publication Info

Year
1996
Type
article
Volume
104
Issue
5
Pages
1989-1992
Citations
58
Access
Closed

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Mel Levy, N. H. March, Nicholas C. Handy (1996). On the adiabatic connection method, and scaling of electron–electron interactions in the Thomas–Fermi limit. The Journal of Chemical Physics , 104 (5) , 1989-1992. https://doi.org/10.1063/1.470954

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DOI
10.1063/1.470954