English

Existence of Density Functionals for Excited States and Resonances

Other Condensed Matter 2008-11-26 v1 Strongly Correlated Electrons Mathematical Physics math.MP Nuclear Theory

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.

Cite

@article{arxiv.cond-mat/0610108,
  title  = {Existence of Density Functionals for Excited States and Resonances},
  author = {B. G. Giraud and K. Kato and A. Ohnishi and S. M. A. Rombouts},
  journal= {arXiv preprint arXiv:cond-mat/0610108},
  year   = {2008}
}

Comments

4 pages, no figures