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- W2149495883 abstract "Two interacting electrons that are confined to the surface of a sphere have a uniform ground-state (surface) density. The Schrodinger equation of this helium-type two-electron system is solved here accurately for different values $ensuremath{alpha}∊mathbb{R}$ of a constant that is multiplied to the electron-electron repulsion ${stackrel{ifmmode hat{}else ^{}fi{}}{V}}_{mathit{ee}}$. The correlation structure in the resulting wave functions is analyzed for different values of $ensuremath{alpha}$. The asymptotic limits $ensuremath{alpha}ensuremath{rightarrow}0$ and $ensuremath{alpha}ensuremath{rightarrow}ifmmodepmelsetextpmfi{}ensuremath{infty}$ are treated analytically. Using these results, the ISI (interaction-strength interpolation) model for the density-functional ${E}_{mathit{xc}}[ensuremath{rho}]$ of the exchange-correlation energy in the real system with $ensuremath{alpha}=1$ is tested against the exact adiabatic connection in density-functional theory." @default.
- W2149495883 created "2016-06-24" @default.
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- W2149495883 date "2007-06-13" @default.
- W2149495883 modified "2023-09-25" @default.
- W2149495883 title "Adiabatic connection in density-functional theory: Two electrons on the surface of a sphere" @default.
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- W2149495883 doi "https://doi.org/10.1103/physreva.75.062506" @default.
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