Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: System of interacting harmonic oscillators in rotationally invariant
  noncommutative phase space   Rotationally invariant space with noncommutativity of coordinates and
noncommutativity of momenta of canonical type is considered. A system of $N$
interacting harmonic oscillators in uniform filed and a system of $N$ particles
with harmonic oscillator interaction are studied. We analyze effect of
noncommutativity on the energy levels of these systems. It is found that
influence of coordinates noncommutativity on the energy levels of the systems
increases with increasing of the number of particles. The spectrum of $N$ free
particles in uniform field in rotationally-invariant noncommutative phase space
is also analyzed. It is shown that the spectrum corresponds to the spectrum of
a system of $N$ harmonic oscillators with frequency determined by the parameter
of momentum noncommutativity.

12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat