Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum evolution of the Universe from $\tau=0$ in the constrained
  quasi-Heisenberg picture   The Heisenberg picture of the minisuperspace model is considered. The
suggested quantization scheme interprets all the observables including the
Universe scale factor as the (quasi)Heisenberg operators. The operators arise
as a result of the re-quantization of the Heisenberg operators that is required
to obtain the hermitian theory. It is shown that the DeWitt constraint H=0 on
the physical states of the Universe does not prevent a time-evolution of the
(quasi)Heisenberg operators and their mean values. Mean value of an observable,
which is singular in a classical theory, is also singular in a quantum case.
The (quasi)Heisenberg operator equations are solved in an analytical form in a
first order on the interaction constant for the quadratic inflationary
potential. Operator solutions are used to evaluate the observables mean values
and dispersions. A late stage of the inflation is considered numerically in the
framework of the Wigner-Weyl phase-space formalism. It is found that the
dispersions of the observables do not vanish at the inflation end.

25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat