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

Abstract

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.

13 pages

References in corpus (2)

• Quantum many-body dynamics in a Lagrangian frame: I. Equations of motion and conservation laws
• Reply to "Comment on 'Critique of the foundations of time-dependent density functional theory'"

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