Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Threshold of discrete Schr\"odinger operators with delta potentials on
  $n$-dimensional lattice   Eigenvalue behaviors of Schr\"odinger operator defined on $n$-dimensional
lattice with $n+1$ delta potentials is studied. It can be shown that lower
threshold eigenvalue and lower threshold resonance are appeared for $n\geq 2$,
and lower super-threshold resonance appeared for $n=1$.

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The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
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The categories of this paper are: eess
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
13
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: hep-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio