Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of accurate Kohn-Sham potentials for the lowest states of
  the helium atom: Accurate test of the ionization-potential theorem   Accurate local Kohn-Sham potentials have been constructed for the ground
$1s^2 ^1S$ state and, in particular, for the lowest triplet $1s2s ^{3}S$ state
of the helium atom, using electron densities from many-body calculations and
the procedure of van Leeuwen and Baerends (Phys. Rev. A{\bf49}, 2138 (1994)).
The resulting Kohn-Sham orbitals reproduce the many-body densities very
accurately, and furthermore we have demonstrated that the negative of the
energy eigenvalue of the outermost electron orbital agrees with the
corresponding ionization energy with extreme accuracy. The procedure is also
applied to the Hartree-Fock density of the $1s2s ^{3}S$ state, and the
Kohn-Sham eigenvalue of the $2s$ orbital is found to agree very well with the
corresponding Hartree-Fock eigenvalue, which is the negative of the ionization
energy in this model due to Koopmans' theorem. The results for the $1s2s ^{3}S$
state clearly demonstrate that there is no conflict between the locality of the
Kohn-Sham potential and the exclusion principle, as claimed by Nesbet (Phys.
Rev. A{\bf58}, R12 (1998)).

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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: solv-int