paper

On the density-potential mapping in time-dependent density functional theory

arXiv:0912.0320 · doi:10.1103/PhysRevA.81.042525

Abstract

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 examples, standard in quantum mechanics, lead however to non-analyticities. We reformulate these questions in terms of a non-linear Schrödinger equation with a potential that depends non-locally on the wavefunction.

8 pages, 2 figures

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