Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High and low temperature behavior of a quantum group fermion gas   We consider the simplest $SU_{q}(2)$ invariant fermionic hamiltonian and
calculate the low and high temperature behavior for the two distinct cases
$q>1$ and $q<1$. For low temperatures we find that entropy values for the Fermi
case are an upper bound for those corresponding to $q\neq 1$. At high
temperatures we find that the sign of the second virial coefficient depends on
$q$, and vanishes at $q=1.96$.
  An important consequence of this fact is that the parameter $q$ connects the
fermionic and bosonic regions, showing therefore that $SU_{q}(2)$ fermions
exhibit fractional statistics in three spatial dimensions.

11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin