Existence of Density Functionals for Excited States and Resonances

B. G. Giraud; K. Kato; A. Ohnishi; S. M. A. Rombouts

doi:10.1016/j.physletb.2007.06.071

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Existence of Density Functionals for Excited States and Resonances

B. G. Giraud·K. Kato·A. Ohnishi·S. M. A. Rombouts

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Abstract

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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B. G. Giraud, K. Kato, A. Ohnishi, S. M. A. Rombouts. 2006-10-04. Existence of Density Functionals for Excited States and Resonances. https://doi.org/10.1016/j.physletb.2007.06.071

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