Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improved Lieb-Oxford exchange-correlation inequality with gradient
  correction   We prove a Lieb-Oxford-type inequality on the indirect part of the Coulomb
energy of a general many-particle quantum state, with a lower constant than the
original statement but involving an additional gradient correction. The result
is similar to a recent inequality of Benguria, Bley and Loss, except that the
correction term is purely local, which is more usual in density functional
theory. In an appendix, we discuss the connection between the indirect energy
and the classical Jellium energy for constant densities. We show that they
differ by an explicit shift due to the long range of the Coulomb potential.

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The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
16
The categories of this paper are: stat
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The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol