Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probing Wigner Rotations for Any Group   Wigner rotations are transformations that affect spinning particles and cause
the observable phenomenon of Thomas precession. Here we study these rotations
for arbitrary symmetry groups with a semi-direct product structure. In
particular we establish a general link between Wigner rotations and Thomas
precession by relating the latter to the holonomies of a certain Berry
connection on a momentum orbit. Along the way we derive a formula for
infinitesimal, Lie-algebraic transformations of one-particle states.

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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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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: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin