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Existence of Density Functionals for Excited States and Resonances
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Existence of Density Functionals for Excited States and Resonances
classification
cond-mat.other
cond-mat.str-elmath-phmath.MPnucl-th
keywords
statedensityexcitedboundcomplexcreateddefinesdegeneracies
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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.
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