Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moyal and tomographic probability representations for f-oscillator
  quantum states   States of nonlinear quantum oscillators (f-oscillators) are considered in the
Weyl-Wigner-Moyal representation and the tomographic probability
representation, where the states are described by standard probability
distributions instead of wave functions or density matrices. The evolving
integrals of motion for classical and quantum f-oscillators are found and the
solution for the Liouville equation associated with the probability
distribution on the phase space for this oscillator is obtained along with the
solution of Moyal equation for quantum f-oscillator, which provide the
solutions for partial case of f-nonlinearity existing in Kerr media. Nonlinear
coherent states and the thermodynamics of nonlinear oscillators are studied.

22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom