Quantum and Classic Brackets

Details Quantum and Classic Brackets Quantum and Classic Brackets

2000-07-25

arxiv.org/abs/math-ph/0007030v2

Int. J. Theor. Phys. v.41(2002), no.1, pp.63-77

Physics

Mathematical Physics

LaTeX2e, 16 pages; added subsection with an example

Scientific paper

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.

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