Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum dynamics in canonical and micro-canonical ensembles. Part II.
  Tunneling in double well potential   In the second part of this paper in micro canonical ensemble the new
numerical approach for consideration of quantum dynamics and calculations of
the average values of quantum operators and time correlation functions in the
Wigner representation of quantum statistical mechanics has been developed. The
numerical results have been obtained for series of the average values of
quantum operators as well as for the time correlation function characterizing
the energy level structure, the momentum flow of tunneling particles at barrier
crossing and the absorption spectra of electron in potential well. The
developed quantum dynamics method was tested by comparison of numerical results
with analytical estimations. Tunneling transitions and the effect of the quasi
stationary state has been considered as the reason of the peculiarities in
behaviour of the time correlation functions and position and momentum
dispersions. Possibility of applying the developed approach to the theory of
classical wave propagation in random media have been also considered. For
classical waves some results have been obtained for Gaussian beam propagation
in 2D and 3D waveguides.

5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess