Density-functional calculations for excited-state energies

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Abstract
A mathematically rigorous approach for the calculation of excited-state energies within the one-particle density-functional formalism is presented. Since the occurring exchange-correlation functional is not exactly known, approximate schemes are proposed and compared with those by other authors. Our approach gives good figures for the harmonic-oscillator potential and it is explained why the agreement with the exact energies is less for the Coulomb potential.