Adiabatic connection in density-functional theory: Two electrons on the surface of a sphere
Journal Article
·
· Physical Review. A
- Institute of Theoretical Physics, University of Regensburg, D-93040 Regensburg (Germany)
Two interacting electrons that are confined to the surface of a sphere have a uniform ground-state (surface) density. The Schroedinger equation of this helium-type two-electron system is solved here accurately for different values {alpha}(set-membership sign)R of a constant that is multiplied to the electron-electron repulsion V{sub ee}. The correlation structure in the resulting wave functions is analyzed for different values of {alpha}. The asymptotic limits {alpha}{yields}0 and {alpha}{yields}{+-}{infinity} are treated analytically. Using these results, the ISI (interaction-strength interpolation) model for the density-functional E{sub xc}[{rho}] of the exchange-correlation energy in the real system with {alpha}=1 is tested against the exact adiabatic connection in density-functional theory.
- OSTI ID:
- 20991129
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 75; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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