Abstract

The density-functional theory relates the ground-state properties of an $N$-electron system to a universal functional of the charge density. In this paper we discuss a functional which avoids the problems of the Hohenberg-Kohn theory. We show that this functional can be calculated exactly, at least in principle. We present an upper bound for this functional, which is applied to the case $N=1$ and to the jellium problem. This upper bound is exact for $N=1$.

Keywords

JelliumDensity functional theoryFunctional theoryOrbital-free density functional theoryPhysicsGround stateBound stateTime-dependent density functional theoryUpper and lower boundsQuantum mechanicsCharge (physics)State (computer science)ElectronStatistical physicsMathematicsMathematical analysisAlgorithm

Affiliated Institutions

Related Publications

Inhomogeneous Electron Gas

This work is a generalization of the Hohenberg---Kohn---Sham theory of the inhomogeneous electron gas, with emphasis on spin effects. An argument based on quantum electrodynamic...

1973 Physical review. B, Solid state 801 citations

Publication Info

Year
1983
Type
article
Volume
28
Issue
2
Pages
544-554
Citations
114
Access
Closed

External Links

Social Impact

Social media, news, blog, policy document mentions

Citation Metrics

114
OpenAlex

Cite This

Gil Zumbach, Klaus Maschke (1983). New approach to the calculation of density functionals. Physical review. A, General physics , 28 (2) , 544-554. https://doi.org/10.1103/physreva.28.544

Identifiers

DOI
10.1103/physreva.28.544