  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.
