Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hydrodynamical interpretation of quantum mechanics: the momentum
  distribution   The quantum mechanics is considered to be a partial case of the stochastic
system dynamics. It is shown that the wave function describes the state of
statistically averaged system $<\mathcal{S}_{st}>$, but not that of the
individual stochastic system $\mathcal{S}_{st}$. It is a common practice to
think that such a construction of quantum mechanics contains hidden variables,
and it is incompatible with the von Neumann's theorem on hidden variables. It
is shown that the original conditions of the von Neumann's theorem are not
satisfied. In particular, the quantum mechanics cannot describe the particle
momentum distribution. The distribution $w(\mathbf{p}) =| \psi_{p%}| ^{2}$ is
not a particle momentum distribution at the state $\psi $, because it cannot be
attributed to a wave function. It is closer to the mean momentum distribution,
although the two distributions do not coincide exactly.

34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat