Exact Kohn-Sham scheme based on perturbation theory
- 1 July 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 50 (1), 196-204
- https://doi.org/10.1103/physreva.50.196
Abstract
An exact formal Kohn-Sham scheme is derived with the help of perturbation theory. Through the introduction of a basis set this Kohn-Sham scheme can be used to perform, in principle, exact Kohn-Sham calculations. As a demonstration, only zeroth- and first-order terms in the underlying perturbation theory are considered. As a result an exact basis set ‘‘exchange-only’’ method is obtained. The presented perturbation theory expansions of the exchange-correlation energy and potential may serve as a starting point for the development of new approximate exchange-correlation functionals based on Kohn-Sham orbitals and eigenvalues and may be used to check conventional exchange-correlation functionals. The formal structures of the ab initio and the introduced density-functional treatment of electronic systems are compared.Keywords
This publication has 13 references indexed in Scilit:
- Correlation-energy functional and its high-density limit obtained from a coupling-constant perturbation expansionPhysical Review B, 1993
- Symmetry in density-functional theoryPhysical Review A, 1993
- Construction of the exact exchange potential of density-functional theoryPhysical Review A, 1993
- Kohn-Sham potentials and wave functions from electron densitiesPhysical Review A, 1992
- Construction and application of an accurate local spin-polarized Kohn-Sham potential with integer discontinuity: Exchange-only theoryPhysical Review A, 1992
- Density Functional TheoryPublished by Springer Science and Business Media LLC ,1990
- The density functional formalism, its applications and prospectsReviews of Modern Physics, 1989
- Optimized effective atomic central potentialPhysical Review A, 1976
- Self-Consistent Equations Including Exchange and Correlation EffectsPhysical Review B, 1965
- Inhomogeneous Electron GasPhysical Review B, 1964