Density-to-potential map in time-independent excited-state density-functional theory

Physics – Condensed Matter – Materials Science

Scientific paper

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Scientific paper

10.1016/j.cplett.2005.11.066

In light of the recent work by Sahni et al., Harbola, and Gaudoin and Burke, the question of mapping from an excited-state density of a many-electron interacting system to the potential of the related non-interacting system is analyzed. To do so, we investigate the Levy-Nagy criterion quantitatively for several excited-states. Our work indicates that Levy-Nagy criterion may fix the density to potential map uniquely.

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