Existence of Density Functionals for Excited States and Resonances

Details Existence of Density Functionals for Excited States and Resonances Existence of Density Functionals for Excited States and Resonances

2006-10-04

arxiv.org/abs/cond-mat/0610108v1

Phys.Lett.B652:69-72,2007

Physics

Condensed Matter

Other Condensed Matter

4 pages, no figures

Scientific paper

10.1016/j.physletb.2007.06.071

We show how every bound state of a finite system of identical fermions,
whether a ground state or an excited one, defines a density functional.
Degeneracies created by a symmetry group can be trivially lifted by a
pseudo-Zeeman effect. When complex scaling can be used to regularize a
resonance into a square integrable state, a DF also exists.

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