Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization of particles in harmonic confinement: Effect of the
  interparticle interaction   We study the localization of particles rotating in a two-dimensional harmonic
potential by solving their rotational spectrum using many-particle quantum
mechanics and comparing the result to that obtained with quantizing the rigid
rotation and vibrational modes of localized particles. We show that for a small
number of particles the localization is similar for bosons and fermions.
Moreover, independent of the range of the interaction the quantum mechanical
spectrum at large angular momenta can be understood by vibrational modes of
localized particles.

17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con