In this work we review the map** from densities to potentials in quantum mechanics,
which is the basic building block of time-dependent density-functional theory and the Kohn …

We reformulate the uniqueness and existence proofs of time-dependent density-functional
theory. The central idea is to restate the fundamental one-to-one correspondence between …

The Kohn–Sham approach to time-dependent density-functional theory (TDDFT) can be
formulated, in principle, exactly by invoking the force-balance equation for the density, which …

Time-dependent density functional theory (TDDFT) for quantum many-body systems on a
lattice is formulated rigorously. We prove the uniqueness of the density-to-potential map** …

A rigorous formulation of time-dependent current density functional theory (TDCDFT) on a
lattice is presented. The density-to-potential map** and the V-representability problems …

The key questions of uniqueness and existence in time-dependent density-functional theory
are usually formulated only for potentials and densities that are analytic in time. Simple …

In a recent paper [Europhys. Lett. 95, 13001 (2011) EULEEJ 0295-5075 10.1209/0295-
5075/95/13001] the question of whether the density of a time-dependent quantum system …

We investigate when Taylor expansions can be used to prove the Runge-Gross theorem,
which is at the foundation of time-dependent density-functional theory (TDDFT). We start …

From the local force equation of quantum mechanics and by expanding the interacting wave
function in terms of the noninteracting Kohn-Sham wave function, we derive differential …

Within nonrelativistic quantum mechanics, spatial cusps in initial wave functions can lead to
nonanalytic behavior in time. We suggest a method for calculating the short-time behavior in …