Adiabatic connection in density-functional theory: Two electrons on the surface of a sphere

Seidl, Michael (2007) Adiabatic connection in density-functional theory: Two electrons on the surface of a sphere. PHYSICAL REVIEW A, 75 (6): 062506. ISSN 1050-2947,

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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 alpha is an element of R of a constant that is multiplied to the electron-electron repulsion V-ee. The correlation structure in the resulting wave functions is analyzed for different values of alpha. The asymptotic limits alpha -> 0 and alpha ->+/-infinity are treated analytically. Using these results, the ISI (interaction-strength interpolation) model for the density-functional E-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.

Item Type: Article
Uncontrolled Keywords: CORRELATION ENERGIES; PERTURBATION-THEORY; EXCHANGE; SYSTEMS; FORMALISM; MOLECULES; SOLIDS; ATOMS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 04 Dec 2020 10:36
Last Modified: 04 Dec 2020 10:36
URI: https://pred.uni-regensburg.de/id/eprint/32708

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