Quantum and Classic Brackets

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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.
LaTeX2e, 16 pages; added subsection with an example

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Mathematical Physics, Functional Analysis, Quantum Algebra, Representation Theory, Classical Physics, Quantum Physics, 81R05; 81P05, 22E70, 43A65

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http://salesiana.dossiersoluciones.com/handle/123456789/56594

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0007030
 http://arxiv.org/abs/math-ph/0007030
 Int. J. Theor. Phys. v.41(2002), no.1, pp.63-77

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arXiv