Quantum and Classic Brackets

Abstract

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 $\hslash \to 0$. Harmonic oscillator considered within the approach. Keywords: Classic and quantum mechanics, Hamilton and Heisenberg equations, Poisson brackets, commutator, Heisenberg group.

LaTeX2e, 16 pages; added subsection with an example

References in corpus (2)

• Mixing Quantum and Classical Mechanics
• Impediments to mixing classical and quantum dynamics

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