Time-Dependent Density-Functional Theory in the Linear-Response Regime

Tai Kai Ng and K. S. Singwi
Phys. Rev. Lett. 59, 2627 – Published 7 December 1987
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Abstract

The possibility of formulating a density-functional theory for time-dependent systems is studied in the linear-response regime. Two results are obtained: (i) The work of Runge and Gross is generalized to a finite time interval with an arbitrary form of the external potential; and (ii) there exists no zero in the mapping n(r, ω)=d3rχ(r, r;ω)V(r, ω) for all ω under a very general thermodynamic condition.

  • Received 22 June 1987

DOI:https://doi.org/10.1103/PhysRevLett.59.2627

©1987 American Physical Society

Authors & Affiliations

Tai Kai Ng* and K. S. Singwi

  • Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60201

  • *Present address: Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139.

Comments & Replies

Zeros of the Frequency-Dependent Linear Density Response

E. K. U. Gross, D. Mearns, and L. N. Oliveira
Phys. Rev. Lett. 61, 1518 (1988)

Ng and Singwi Reply

Tai Kai Ng and K. S. Singwi
Phys. Rev. Lett. 61, 1519 (1988)

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Vol. 59, Iss. 23 — 7 December 1987

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