Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical treatment of interacting Fermi gas in arbitrary dimensional
  harmonic trap   We study normal state properties of an interacting Fermi gas in an isotropic
harmonic trap of arbitrary dimensions. We exactly calculate the first-order
perturbation terms in the ground state energy and chemical potential, and
obtain simple analytic expressions of the total energy and chemical potential.
At zero temperature, we find that Thomas-Fermi approximation agrees well with
exact results for any dimension even though system is dilute and small, i.e.
when the Thomas-Fermi approximation is generally expected to fail. In the high
temperature (classical) region, we find interaction energy decreases in
proportion to T^(-d/2), where T is temperature and d is dimension of the
system. Effect of interaction in the ground state in two and three-dimensional
systems is also discussed.

26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin