Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum localization in rough billiards   We study the level spacing statistics p(s) and eigenfunction properties in a
billiard with a rough boundary. Quantum effects lead to localization of
classical diffusion in the angular momentum space and the Shnirelman peak in
p(s) at small s. The ergodic regime with Wigner-Dyson statistics is identified
as a function of roughness. Applications for the Q-spoiling in optical
resonators are also discussed.

24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
18
The categories of this paper are: econ
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg