Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics and estimates of the discrete spectrum of the Schrodinger
  operator on a discrete periodic graph   The periodic Schrodinger operator $ H $ on a discrete periodic graph is
considered. We estimate the discrete spectrum of the perturbed operator $ H _
{-} (t) = H-tV $, $ t> 0 $, where the potential $ V \ ge 0 $ is decreasing and
$t>0$ is the coupling constant. If the potential has a power asymptotics at
infinity, then we obtain asymptotics of the discrete spectrum of operator $ H_
{-} (t) $ with a large coupling constant.

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The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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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: chao-dyn
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The categories of this paper are: nucl-ex