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Keyword: density oscillations ×Clear all

3 claims from 1 paper

1. Physics and Astronomy › Advanced Chemical Physics Studies

   Self-Consistent Equations Including Exchange and Correlation Effects

   Kohn and Sham · Physical Review · 1965

   Building on Hohenberg and Kohn's theory, the paper derives approximate, self-consistent equations for interacting electrons in an uneven density, including exchange and correlation effects.

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   1. UncheckedThe approximation methods developed for interacting electrons are exact in the limits of slowly varying electron density or very high density.“These methods are exact for systems of slowly varying or high density.”
   2. UncheckedFor the ground state, the authors' approximation methods give self-consistent equations resembling the Hartree and Hartree-Fock equations, respectively.“For the ground state, they lead to self-consistent equations analogous to the Hartree and Hartree-Fock equations, respectively.”
   3. UncheckedIn the paper's self-consistent equations, a uniform electron gas's exchange and correlation chemical potential terms enter as extra effective potentials.“In these equations the exchange and correlation portions of the chemical potential of a uniform electron gas appear as additional effective potentials.”