Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiclassical properties of eigenfunctions and occupation number
  distribution for a model of two interacting particles   Quantum-classical correspondence for the shape of eigenfunctions, local
spectral density of states and occupation number distribution is studied in a
chaotic model of two coupled quartic oscillators. In particular, it is shown
that both classical quantities and quantum spectra determine global properties
of occupation numbers and inverse participation ratio.

8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con