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.
https://hal-cea.archives-ouvertes.fr/cea-02889117
Contributor : Bruno Savelli <>
Submitted on : Friday, July 3, 2020 - 3:29:15 PM Last modification on : Saturday, July 4, 2020 - 3:36:54 AM Long-term archiving on: : Thursday, September 24, 2020 - 8:28:24 AM
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⟩