Strong-interaction limit of density-functional theory

Seidl, Michael (1999) Strong-interaction limit of density-functional theory. PHYSICAL REVIEW A, 60 (6). pp. 4387-4395. ISSN 1050-2947,

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Abstract

Electrons can have a given smooth density distribution rho(r), even if their Coulomb interaction is scaled to infinity. This strong-interaction limit of density-functional theory provides essential information on the correlation energy of real electron systems. The simple concept of strictly correlated electrons (SCE) is analyzed here as a model for that limit. SCE is solved exactly for any one-dimensional (1D) N-electron density and, in particular, for any 3D spherical two-electron system, such as the helium atom. Both the SCE interaction energy and the SCE external potential, which are obtained here as density functionals, obey all the relations known for the corresponding quantities in the unknown true strong-interaction limit. At large but finite interaction, the electrons are still strongly correlated, performing zero-point oscillations about the SCE limit. [S1050-2947(99)01312-8].

Item Type: Article
Uncontrolled Keywords: EXCHANGE-CORRELATION-ENERGY; CORRELATION POTENTIALS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 06 Dec 2022 13:33
Last Modified: 06 Dec 2022 13:33
URI: https://pred.uni-regensburg.de/id/eprint/48814

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