Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The transition from a classical to a quantum world as a passage from
  extensive to non-extensive thermodynamics   We study the thermodynamical properties of the quantum kicked rotator,
coarsened by an external fluctuation with a weak intensity D, by means of the
Tsallis entropy with a changing entropic index q. The genuine entropic index,
corresponding to given values of D and $\hbar$ is that making the Tsallis
entropy increase linearly in time, and it is proved to become q <1 for suitably
large values of $\hbar $: This indicates a subdiffusional regime which, in
turn, signals the occurrence of quantum localization. Thus the process of
Anderson localization is shown to be compatible with a thermodynamical
representation provided that a non-extensive form of entropy is used.

36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys