Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decomposition of the Total Electromagnetic Momentum in a Linear
  Dielectric into Field and Matter Components   The long-standing resolution of the Abraham--Minkowski electromagnetic
momentum controversy is predicated on a decomposition of the total momentum of
a closed continuum electrodynamic system into separate field and matter
components. Using a microscopic model of a simple linear dielectric, we derive
Lagrangian equations of motion for the electric dipoles and show that the
dielectric can be treated as a collection of stationary simple harmonic
oscillators that are driven by the electric field and produce a polarization
field in response. The macroscopic energy and momentum are defined in terms of
the electric, magnetic, and polarization fields that travel through the
dielectric together as a pulse of electromagnetic radiation. We conclude that
both the macroscopic energy and the macroscopic momentum are entirely
electromagnetic in nature for a simple linear dielectric in the absence of
significant reflections.

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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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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: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat