Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trace formula for dielectric cavities III: TE modes   The construction of the semiclassical trace formula for the resonances with
the transverse electric (TE) polarization for two-dimensional dielectric
cavities is discussed. Special attention is given to the derivation of the two
first terms of Weyl's series for the average number of such resonances. The
obtained formulas agree well with numerical calculations for dielectric
cavities of different shapes.

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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph