Kohn-Sham theory and the representability problem

Eduardo V. Ludeña, Vladimiro Mujica

Research output: Contribution to journalArticle

Abstract

The representability problems related to the one-particle density ρ{variant}(1) and, more generally, to the 1-matrix γ(1,1') are discussed in the context of the Kohn-Sham (KS) formalism. It is shown that this formalism implies a projection (on a one-particle space) which does not preserve the representability conditions. A comparison between interacting and non-interacting systems is made, in the spirit of the Hohenberg-Kohn theorem, and it is shown that even though these systems may have the same one-particle densities they must necessarily have different 1- and 2-matrices. A more general approach based on a constrained variation is also outlined. The implications of this result on the energy functional are analysed.

Original languageEnglish
Pages (from-to)9-28
Number of pages20
JournalJournal of Molecular Structure: THEOCHEM
Volume210
Issue numberC
DOIs
Publication statusPublished - Nov 1 1990

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formalism
matrices
theorems
projection
energy

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Computational Theory and Mathematics
  • Atomic and Molecular Physics, and Optics

Cite this

Kohn-Sham theory and the representability problem. / Ludeña, Eduardo V.; Mujica, Vladimiro.

In: Journal of Molecular Structure: THEOCHEM, Vol. 210, No. C, 01.11.1990, p. 9-28.

Research output: Contribution to journalArticle

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