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 leading to a given -representable density is uniquely determined so that the corresponding map 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 Schrödinger equation.
- Received 16 August 1983
DOI:https://doi.org/10.1103/PhysRevLett.52.997
©1984 American Physical Society