Abstract

An energy-minimization principle based on the hydrodynamic formulation of quantum mechanics is used to develop a time-dependent energy-density functional. The external potential considered has a periodic dependence on time and the validity of the functional is restricted to those frequencies which are not so large as to cause a transition to an excited state. The present time-dependent energy-density functional reduces to the time-independent Hohenberg-Kohn-Levy functional in the static limit.

Keywords

Density functional theoryKohn–Sham equationsTime-dependent density functional theoryEnergy functionalPhysicsLimit (mathematics)Excited stateOrbital-free density functional theoryFunctional theoryEnergy (signal processing)Energy densityQuantum mechanicsExtension (predicate logic)Statistical physicsClassical mechanicsMathematical analysisTheoretical physicsMathematicsComputer science

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Publication Info

Year
1981
Type
article
Volume
24
Issue
4
Pages
1661-1667
Citations
103
Access
Closed

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Cite This

Libero J. Bartolotti (1981). Time-dependent extension of the Hohenberg-Kohn-Levy energy-density functional. Physical review. A, General physics , 24 (4) , 1661-1667. https://doi.org/10.1103/physreva.24.1661

Identifiers

DOI
10.1103/physreva.24.1661