Time-dependent current density functional theory via time-dependent deformation functional theory: A constrained search formulation in the time domain

Abstract

The logical structure and the basic theorems of time-dependent current density functional theory (TDCDFT) are analyzed and reconsidered from the point of view of recently proposed time-dependent deformation functional theory (TDDefFT). It is shown that the formalism of TDDefFT allows to avoid a traditional external potential-to-density/current mapping. Instead the theory is formulated in a form similar to the constrained search procedure in the ground state DFT. Within this formulation of TDCDFT all basic functionals appear from the solution of a constrained universal many-body problem in a comoving reference frame, which is equivalent to finding a conditional extremum of a certain universal action functional. As a result the physical origin of the universal functionals entering the theory, as well as their proper causal structure becomes obvious. In particular, this leaves no room for any doubt concerning predictive power of the theory.

revtex4, 24 pages

References in corpus (5)

• On the "Causality Paradox" of Time-Dependent Density Functional Theory
• Is time-dependent density functional theory formally exact?
• Time-dependent V-representability on lattice systems
• Time-dependent deformation functional theory
• On the Mapping of Time-Dependent Densities onto Potentials in Quantum Mechanics

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• Quantum theory of mechanical deformations
• Time-Dependent Density Functional Theory Applied to Average Atom Opacity
• A unified approach to the density-potential mapping in a family of time-dependent density functional theories
• Anti-adiabatic limit of the exchange-correlation kernels of an inhomogeneous electron gas
• Making ab initio QED functional(s): Non-perturbative and photon-free effective frameworks for strong light-matter coupling