Abstract
We deal with the 'Slater-Gaspar-Kohn-Sham' local density approximation for the exchange potential of Hartree-Fock models. Our mathematical rigorous method to derive the famous third root term' as well as higher order corrections is based on deformations (local scaling transformations) of plane waves and the 'high density limit' of infinite number of particles. On the level of the exchange energy, this gives a rigorous justification of the Dirac term. For the kinetic energy, this method gives also a rigorous derivation of the Thomas-Fermi-von-Weizsacker model. (C) 2000 Elsevier Science B.V.
Original language | English |
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Pages (from-to) | 47-58 |
Number of pages | 12 |
Journal | Journal of Molecular Structure: THEOCHEM |
Volume | 501-502 |
Publication status | Published - 2000 |
Austrian Fields of Science 2012
- 1010 Mathematics