Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A two-dimensional interacting system obeying Fractional Exclusion
  Statistics   We consider N fermions in a two-dimensional harmonic oscillator potential
interacting with a very short-range repulsive pair-wise potential. The
ground-state energy of this system is obtained by performing a Thomas-Fermi as
well as a self-consistent Hartree-Fock calculation. The two results are shown
to agree even for a small number of particles. We next use the finite
temperature Thomas-Fermi method to demonstrate that in the local density
approximation, these interacting fermions are equivalent to a system of
noninteracting particles obeying the Haldane-Wu fractional exclusion
statistics. It is also shown that mapping onto to a system of N noninteracting
quasi-particles enables us to predict the energies of the excited states of the
N-body system.

16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex