Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nodal Domain Distribution for a Nonintegrable Two-Dimensional Anharmonic
  Oscillator   We investigate the transition from integrable to chaotic dynamics in the
quantum mechanical wave functions from the point of view of the nodal structure
by employing a two dimensional quartic oscillator. We find that the number of
nodal domains is drastically reduced as the dynamics of the system changes from
integrable to nonintegrable, and then gradually increases as the system becomes
chaotic. The number of nodal intersections with the classical boundary as a
function of the level number shows a characteristic dependence on the dynamics
of the system, too. We also calculate the area distribution of nodal domains
and study the emergence of the power law behavior with the Fisher exponent in
the chaotic limit.

21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th