Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Observables, evolution equation,and stationary states equation in the
  joint probability representation of quantum mechanics   Symplectic and optical joint probability representations of quantum mechanics
are considered, in which the functions describing the states are the
probability distributions with all random arguments (except the argument of
time ). The general formalism of quantizers and dequantizers determining the
star product quantization scheme in these representations is given. Taking the
Gaussian functions as the distributions of the tomographic parameters the
correspondence rules for most interesting physical operators are found and the
expressions of the dual symbols of operators in the form of singular and
regular generalized functions are derived. Evolution equations and stationary
states equations for symplectic and optical joint probability distributions are
obtained.

5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin