Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interpretation of Stationary States in Prequantum Classical Statistical
  Field Theory   We develop a prequantum classical statistical model in that the role of
hidden variables is played by classical (vector) fields. We call this model
Prequantum Classical Statistical Field Theory (PCSFT). The correspondence
between classical and quantum quantities is asymptotic, so we call our approach
asymptotic dequantization. In this note we pay the main attention to
interpretation of so called pure quantum states (wave functions) in PCSFT,
especially stationary states. We show, see Theorem 2, that pure states of QM
can be considered as labels for Gaussian measures concentrated on one
dimensional complex subspaces of phase space that are invariant with respect to
the Schr\"odinger dynamics. ``A quantum system in a stationary state $\psi$''
in PCSFT is nothing else than a Gaussian ensemble of classical fields
(fluctuations of the vacuum field of a very small magnitude) which is not
changed in the process of Schr\"odinger's evolution. We interpret in this way
the problem of {\it stability of hydrogen atom.

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The categories of this paper are: atom-ph
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The categories of this paper are: eess
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas