Abstract
A density-functional formalism comparable to the Hohenberg-Kohn-Sham theory of the ground state is developed for arbitrary time-dependent systems. It is proven that the single-particle potential $v(\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}t)$ leading to a given $v$-representable density $n(\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}t)$ is uniquely determined so that the corresponding map $v\ensuremath{\rightarrow}n$ is invertible. On the basis of this theorem, three schemes are derived to calculate the density: a set of hydrodynamical equations, a stationary action principle, and an effective single-particle Schr\"odinger equation.
Keywords
Invertible matrixFormalism (music)PhysicsMathematical physicsDensity functional theoryGround stateQuantum mechanics
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Publication Info
- Year
- 1984
- Type
- article
- Volume
- 52
- Issue
- 12
- Pages
- 997-1000
- Citations
- 8420
- Access
- Closed
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Cite This
Erich Runge,
E. K. U. Gross
(1984).
Density-Functional Theory for Time-Dependent Systems.
Physical Review Letters
, 52
(12)
, 997-1000.
https://doi.org/10.1103/physrevlett.52.997
Identifiers
- DOI
- 10.1103/physrevlett.52.997