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Existence of density functionals for excited states and resonances

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 aresonance into a square integrable state, a DF also exists.
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B.G. Giraud, K. Kato, A. Ohnishi, S.M.A. Rombouts. Existence of density functionals for excited states and resonances. Modern Physics Letters B, World Scientific Publishing, 2007, 652 (2-3), pp.69-72. ⟨10.1016/j.physletb.2007.06.071⟩. ⟨cea-02889117⟩

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