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arXiv · 0912.0320

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

Neepa T. Maitra·Tchavdar N. Todorov·Chris Woodward·Kieron Burke
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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.

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Neepa T. Maitra, Tchavdar N. Todorov, Chris Woodward, Kieron Burke. 2010-09-24. On the density-potential mapping in time-dependent density functional theory. https://doi.org/10.1103/physreva.81.042525

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