Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coherent States and Generalized Hermite Polynomials for fractional
  statistics -- interpolating from fermions to bosons   This article develops the algebraic structure that results from the
$\theta$-commutator $\alpha \beta - e^{i \theta} \beta \alpha = 1 $ that
provides a continuous interpolation between the Clifford and Heisenberg
algebras. We first demonstrate the most general geometrical picture, applicable
to all values of $N$. After listing the properties of this Hilbert space, we
study the generalized coherent states that result when $\xi^N=0$, for $N \ge
2$. We also solve the generalized harmonic oscillator problem and derive
generalized versions of the Hermite polynomials for general $N$. Some remarks
are made to connect this study to the case of anyons. This study represents the
first steps towards developing an anyonic field theory.

33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an