Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Properties of Schr\"odinger Operators on Perturbed Lattices   We study the spectral properties of Schr\"{o}dinger operators on perturbed
lattices. We shall prove the non-existence or the discreteness of embedded
eigenvalues, the limiting absorption principle for the resolvent, construct a
spectral representation, and define the S-matrix. Our theory covers the square,
triangular, diamond, Kagome lattices, as well as the ladder, the graphite and
the subdivision of square lattice.

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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: physics
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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: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom