Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: No More Than Mechanics. I   One can introduce so-called {\em Plain Mechanics} having an {\bf operator
realization}. Then the set of one-dimension representations of this operator
realization may be identified with the Classical Mechanics. Different
irreducible infinite-dimension representations may be recognized as Quantum
Mechanics for different $\hbar$ (the Planck constant). It can be done in the
such manner that the following diagram will be commutative.
  Plain Mechanics
  / \
  / \
  / \
  Quantum Mechanics --> Classical Mechanics h->0
  Here the horizontal arrow is well known correspondence between Quantum and
Classical Mechanics if Planck constant tensing to zero. A {\em realization} of
this scheme for a particle in $n$-dimensional space by two-sided convolutions
on the Heisenberg group is constructed. We also introduce the {\em motion
equations} for observables in this realization. The left arrow of the given
diagram carries this equation to the Heisenberg one and the right arrow maps it
to the Hamilton equation.

18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
3
The categories of this paper are: physics