Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditions for quantum and classical tomogram-like functions to describe
  system states and to retain normalization during evolution   It is shown that dynamical equations for quantum tomograms retain the
normalization conditions of their solutions during evolution only if the
solutions satisfy a set of special conditions. These conditions are found
explicitly. On the contrary, it is also shown that the classical Liouville
equation, Moyal equation for Wigner function, and evolution equation for Husimi
function retain normalization of any initially normalized and quickly decaying
at infinity functions on the phase space. Other necessary and sufficient
conditions for optical and symplectic tomogram-like functions to be tomograms
of physical states are discussed.

3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph