Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intermediate symmetric construction of transformation between anyon and
  Gentile statistics   Gentile statistics describes fractional statistical systems in the occupation
number representation. Anyon statistics researches those systems in the winding
number representation. Both of them are intermediate statistics between
Bose-Einstein and Fermi-Dirac statistics. The second quantization of Gentile
statistics shows a lot of advantages. According to the symmetry requirement of
the wave function, we give the general construction of transformation between
anyon and Gentile statistics. In other words, we introduce the second
quantization form of anyons in a easy way. Basic relations of second
quantization operators, the coherent state and Berry phase are also discussed.

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The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: math
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom