Density-Functional Theory for Time-Dependent Systems

Erich Runge and E. K. U. Gross
Phys. Rev. Lett. 52, 997 – Published 19 March 1984
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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(rt) leading to a given v-representable density n(rt) is uniquely determined so that the corresponding map vn 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

Authors & Affiliations

Erich Runge and E. K. U. Gross

  • Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, D-6000 Frankfurt, Federal Republic of Germany

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Issue

Vol. 52, Iss. 12 — 19 March 1984

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