Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: "Killing Mie Softly": Analytic Integrals for Resonant Scattering States   We consider integrals of products of Bessel functions and of spherical Bessel
functions, combined with a Gaussian factor guaranteeing convergence at
infinity. Explicit representations are obtained for the integrals, building on
those in the 1992 paper by McPhedran, Dawes and Scott. Attention is paid to
those sums with a distributive part arising as the Gaussian tends towards a
constant. Taking this limit provides explicit analytic formulae for integrals
which are difficult to evaluate numerically or otherwise, and whose
interpretation has been contentious both in the literature of quantum mechanics
and of electromagnetic scattering.

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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn