Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase liquid turbulence as novel quantum approach   In this paper we consider a nonlinear stochastic approach to the description
of quantum systems. It is shown that a possibility to derive quantum properties
- spectrum quantization, zero point positive energy and uncertainty relations,
exists in frame of Zaslavsky phase liquid. This liquid is considered as a
projection of continuous turbulent medium into a Hilbert phase space.It has
isotropic minimal diffusion defined by Planck constant.Areas of probability
condensation may produce clustering centers: quasi stable particles-attractors
which preserve boundaries and scale-free fractal transport properties.The
stability of particles has been shown in frame of the first order perturbation
theory. Quantum peculiarities of considered systems have been strictly derived
from markovian Fokker-Planck equation. It turned out that the positive zero
point energy has volumetric properties and grows for higher time resolutions.
We have shown that a quasi stable attractor may be applied as a satisfactory
model of an elementary quantum system. The conditions of attractor stability
are defined on the basis of Nonlinear Prigogine Theorem. Finally the integrity
of classical and quantum approaches is recovered: existence of particles is
derived in terms of Zaslavsky quantum fluid.

8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga