| Issue |
EPL
Volume 92, Number 5, December 2010
|
|
|---|---|---|
| Article Number | 57001 | |
| Number of page(s) | 4 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/92/57001 | |
| Published online | 09 December 2010 | |
Exact relation in the density functional theory
1
Joint Institute for High Temperatures, Russian Academy of Sciences - Izhorskaya St., 13, Bd. 2, 125412 Moscow, Russia
2
Eindhoven University of Technology - P.O. Box 513, MB 5600 Eindhoven, The Netherlands, EU
Received:
12
November
2010
Accepted:
23
November
2010
Based on the Hohenberg-Kohn theorem, an exact integral expression is derived, which relates the nonuniform density to the inverse response function in the equilibrium system of interacting electrons. This relation is a necessary condition for the existence of the universal density functional in the density functional theory. The possibility of developing a regular procedure for calculating the density functional for the free energy or ground-state energy is shown.
PACS: 71.10.Ca – Electron gas, Fermi gas / 31.15.ec – Hohenberg-Kohn theorem and formal mathematical properties, completeness theorems / 52.25.Kn – Thermodynamics of plasmas
© EPLA, 2010
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