Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical probability waves   Probability waves in the configuration space are associated with coherent
solutions of the classical Liouville or Fokker-Planck equations. Distributions
localized in the momentum space provide action waves, specified by the
probability density and the generating function of the Hamilton-Jacobi theory.
It is shown that by introducing a minimum distance in the coordinate space, the
action distributions aquire the energy dispersion specific to the quantum
objects. At finite temperature, probability density waves propagating with the
sound velocity are obtained as nonstationary solutions of the classical
Fokker-Planck equation. The results suggest that in a system of quantum
Brownian particles, a transition from complex to real probability waves could
be observed.

23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an