Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probability representation of quantum evolution and energy level
  equations for optical tomograms   The von Neumann evolution equation for density matrix and the Moyal equation
for the Wigner function are mapped onto evolution equation for optical tomogram
of quantum state. The connection with known evolution equation for symplectic
tomogram of the quantum state is clarified. The stationary states corresponding
to quantum energy levels are associated with the probability representation of
the von Neumann and Moyal equations written for the optical tomograms.
Classical Liouville equation for optical tomogram is obtained. Example of
parametric oscillator is considered in detail.

29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph