Exact exchange-correlation potential and approximate exchange potential in terms of density matrices
- Institute of Physical Chemistry of the Polish Academy of Sciences, 44/52 Kasprzaka, 01-224 Warsaw (Poland)
- Theoretical Chemistry Department, University of Oxford, 5 South Parks Road, Oxford OX1 3UB (United Kingdom)
An exact expression in terms of density matrices (DM) is derived for [delta][ital F][[ital n]]/[delta][ital n]([ital r]), the functional derivative of the Hohenberg-Kohn functional. The derivation starts from the differential form of the virial theorem, obtained here for an electron system with arbitrary interactions, and leads to an expression taking the form of an integral over a path that can be chosen arbitrarily. After applying this approach to the equivalent system of noninteracting electrons (Slater-Kohn-Sham scheme) and combining the corresponding result with the previous one, an exact expression for the exchange-correlation potential [ital v][sub xc]([bold r]) is obtained which is analogous in character to that for [delta][ital F][[ital n]]/[delta][ital n]([ital r]), but involving, besides the interacting-system DMs, also the noninteracitng DMs. Equating the former DMs to the latter ones, we reduce the result for the exact [ital v][sub xc]([bold r]) to that for an approximate exchange-only potential [ital v][sub [ital x]]([bold r]). This leads naturally to the Harbola-Sahni exchange-only potential.
- OSTI ID:
- 6585188
- Journal Information:
- Physical Review A; (United States), Vol. 51:3; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ATOMS
ELECTRONIC STRUCTURE
SPIN EXCHANGE
DENSITY MATRIX
ELECTRON CORRELATION
ELECTRON-ELECTRON INTERACTIONS
VIRIAL THEOREM
CORRELATIONS
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
MATRICES
PARTICLE INTERACTIONS
664100* - Theory of Electronic Structure of Atoms & Molecules- (1992-)