Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Testing excited-state energy density functional and potential with the
  ionization potential theorem   The modified local spin density functional and the related local potential
for excited states is tested by employing the ionization potential theorem. The
functional is constructed by splitting $k$-space. Since its functional
derivative cannot be obtained easily, the corresponding potential is given by
analogy to its ground-state counterpart. Further to calculate the highest
occupied orbital energy $\epsilon_{max}$ accurately, the potential is corrected
for its asymptotic behavior by employing the van Leeuwen and Baerends
correction to it. $\epsilon_{max}$ so obtained is then compared with the
$\Delta$SCF ionization energy calculated using the MLSD functional. It is shown
that the two match quite accurately.

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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: stat