On the existence of effective potentials in time-dependent density functional theory

Details On the existence of effective potentials in time-dependent density functional theory On the existence of effective potentials in time-dependent density functional theory

2009-11-10

arxiv.org/abs/0911.1956v1

J. Phys. A: Math. Theor. 42 (2009) 425207

Physics

Mathematical Physics

13 pages

Scientific paper

10.1088/1751-8113/42/42/425207

We investigate the existence and properties of effective potentials in time-dependent density functional theory. We outline conditions for a general solution of the corresponding Sturm-Liouville boundary value problems. We define the set of potentials and v-representable densities, give a proof of existence of the effective potentials under certain restrictions, and show the set of v-representable densities to be independent of the interaction.

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