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

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

2009-12-02

arxiv.org/abs/0912.0320v3

Phys. Rev. A. 81, 042525 (2010)

Physics

Condensed Matter

Materials Science

8 pages, 2 figures

Scientific paper

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 Schr\"odinger equation with a potential that depends non-locally on the wavefunction.

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