arXiv:cond-mat/0610108·v1·cond-mat.other
Existence of Density Functionals for Excited States and Resonances
B.G. Giraud🇫🇷 · K. Kato🇯🇵 · A. Ohnishi🇯🇵 · S.M.A. Rombouts🇧🇪
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.
Comments: 4 pages, no figures