Mapping from current densities to vector potentials in time-dependent current density functional theory

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Mapping from current densities to vector potentials in time-dependent current density functional theory

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/7785

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Title: Mapping from current densities to vector potentials in time-dependent current density functional theory
Author: Vignale, Giovanni, 1957-
Keywords: density functional theory
local density approximation
gradient and other corrections
Date: 2004-11-11
Publisher: American Physical Society
Citation: Phys. Rev. B 70, 201102(R) (2004)
Abstract: Under reasonable assumptions the time- dependent particle density nsrW , td and the current density jW srW , td of a many-particle system that evolves under the action of external scalar and vector potentials VsrW , td and AW srW , td and is initially in the quantum state ucs0dl can be reproduced in another many-particle system with a different two-particle interaction, subjected to external potentials V8srW , td and AW 8srW , td and starting from an initial state uc8s0dl, which yields the same density and current as ucs0dl. Here we show that given the initial state of this other many-particle system, the potentials V8srW , td and AW 8srW , td, if they exist, are uniquely determined up to gauge transformations that do not alter the initial state. As a special case, we obtain a simpler proof of the Runge-Gross theorem for time-dependent current density functional theory. This theorem provides a formal basis for the application of time- dependent current density functional theory to transport problems.
URI: http://hdl.handle.net/10355/7785
ISSN: 1098-0121

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