Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Paraxial spin transport using the Dirac-like paraxial wave equation   In weakly inhomogeneous media, Maxwell equations assume a Dirac-like form
that is particularly apt for the study of paraxial propagation. Using this
form, and via the Foldy-Wouthuysen transformation technique of the Dirac
equation, we study the spin transport of paraxial light beams in weakly
inhomogeneous media. We derive the Berry effect terms and establish the spin
Hall effect and the Rytov rotation law for polarized paraxial beam transport.

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The categories of this paper are: eess
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The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
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The categories of this paper are: econ