Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum particles from coarse grained classical probabilities in phase
  space   Quantum particles can be obtained from a classical probability distribution
in phase space by a suitable coarse graining, whereby simultaneous classical
information about position and momentum can be lost. For a suitable time
evolution of the classical probabilities and choice of observables all features
of a quantum particle in a potential follow from classical statistics. This
includes interference, tunneling and the uncertainty relation.

6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin