Existence of density functionals for excited states and resonances

B.G. Giraud (1) , K. Kato (2) , A. Ohnishi (2) , S.M.A. Rombouts (3)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 Hokkaido University Hospital [Sapporo]
3 UGENT - Universiteit Gent = Ghent University [Belgium]

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.

Domains: Physics [physics]; Nuclear Theory [nucl-th]

B.G. Giraud, K. Kato, A. Ohnishi, S.M.A. Rombouts. Existence of density functionals for excited states and resonances. Modern Physics Letters B, 2007, 652 (2-3), pp.69-72. ⟨10.1016/j.physletb.2007.06.071⟩. ⟨cea-02889117⟩