Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Almost Exact Exchange At Almost No Cost   A recently developed semiclassical approximation to exchange in one dimension
is shown to be almost exact, with essentially no computational cost. The
variational stability of this approximation is tested, and its far greater
accuracy relative to local density functional calculations demonstrated. Even a
fully orbital-free potential-functional calculation (no orbitals of any kind)
yields little error relative to exact exchange, for more than one orbital.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
18
The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
2
The categories of this paper are: math