Brief review related to the foundations of time-dependent density functional theory

Abstract

The electron density $n(\rb,t)$, which is the central tool of time-dependent density functional theory, is presently considered to be derivable from a one-body time-dependent potential $V(\rb,t)$, via one-electron wave functions satisfying a time- dependent Schrödinger equation. This is here related via a generalized equation of motion to a Dirac density matrix now involving $t$. Linear response theory is then surveyed, with a special emphasis on the question of causality with respect to the density dependence of the potential. Extraction of $V(\rb,t)$ for solvable models is also proposed.

References in corpus (5)

• On the "Causality Paradox" of Time-Dependent Density Functional Theory
• Is time-dependent density functional theory formally exact?
• Reply to "Comment on 'Critique of the foundations of time-dependent density functional theory'"
• Comment on "Critique of the foundations of time-dependent density functional theory" [Phys. Rev.A. 75, 022513 (2007)]
• Dynamical generalization of a solvable family of two-electron model atoms with general interparticle repulsion