Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Carbon Nanotubes Band Assignation, Topology, Bloch States and Selection
  Rules   Various properties of the energy band structures (electronic, phonon, etc.),
including systematic band degeneracy, sticking and extremes, following from the
full line group symmetry of the single-wall carbon nanotubes are established.
The complete set of quantum numbers consists of quasi momenta (angular and
linear or helical) and parities with respect to the z-reversal symmetries and,
for achiral tubes, the vertical plane. The assignation of the electronic bands
is performed, and the generalized Bloch symmetry adapted eigen functions are
derived. The most important physical tensors are characterized by the same set
of quantum numbers. All this enables application of the presented exhaustive
selection rules. The results are discussed by some examples, e.g. allowed
interband transitions, conductivity, Raman tensor, etc.

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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg