• Corpus ID: 230437664

Building Kohn-Sham potentials for ground and excited states

  title={Building Kohn-Sham potentials for ground and excited states},
  author={Louis Garrigue},
. We analyze the inverse problem of Density Functional Theory using a regularized variational method. First, we show that given k and a target density ρ , there exist potentials having k th excited mixed states which densities are arbitrarily close to ρ . The state can be chosen pure in dimension d = 1 and without interactions, and we provide numerical and theoretical evidence consistently leading us to conjecture that the same pure representability result holds for d = 2 , but that the set of… 

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