  We describe an $p$-mechanical (see funct-an/9405002 and quant-ph/9610016)
brackets which generate quantum (commutator) and classic (Poisson) brackets in
corresponding representations of the Heisenberg group. We \emph{do not} use any
kind of semiclassic approximation or limiting procedures for $\hbar \to 0$.
Harmonic oscillator considered within the approach. Keywords: Classic and
quantum mechanics, Hamilton and Heisenberg equations, Poisson brackets,
commutator, Heisenberg group.
