Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Theory of particles and fields as an extension of a
  probabilistic variational approach to classical mechanics and classical field
  theory. I   A theoretical scheme, based on a probabilistic generalization of the
Hamilton's principle, is elaborated to obtain an unified description of more
general dynamical behaviors determined both from a lagrangian function and by
mechanisms not contemplated by this function. Within this scheme, quantum
mechanics, classical field theory and a quantum theory for scalar fields are
discussed. As a by-product of the probabilistic scheme for classical field
theory, the equations of the De Donder-Weyl theory for multi-dimensional
variational problems are recovered.

16
The categories of this paper are: stat
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom