A Quantum-Classical Brackets from p-Mechanics

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dc.creatorKisil, Vladimir V.
dc.date2005-06-15
dc.date2005-11-04
dc.date.accessioned2026-07-07T06:43:32Z
dc.date.available2026-07-07T06:43:32Z
dc.descriptionWe provide an answer to the long standing problem of mixing quantum and classical dynamics within a single formalism. The construction is based on p-mechanical derivation (quant-ph/0212101, quant-ph/0304023) of quantum and classical dynamics from the representation theory of the Heisenberg group. To achieve a quantum-classical mixing we take the product of two copies of the Heisenberg group which represent two different Planck's constants. In comparison with earlier guesses our answer contains an extra term of analytical nature, which was not obtained before in purely algebraic setup. Keywords: Moyal brackets, Poisson brackets, commutator, Heisenberg group, orbit method, representation theory, Planck's constant, quantum-classical mixing
dc.descriptionLaTeX, 7 pages (EPL style), no figures; v2: example of dynamics with two different Planck's constants is added, minor corrections; v3: major revion, a complete example of quantum-classic dynamics is given; v4: few grammatic corrections
dc.identifierhttps://arxiv.org/abs/quant-ph/0506122
dc.identifierhttp://arxiv.org/abs/quant-ph/0506122
dc.identifierEurophys. Lett., 72 (6), pp. 873-?879 (2005)
dc.identifierdoi:10.1209/epl/i2005-10324-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102451
dc.subjectQuantum Physics
dc.titleA Quantum-Classical Brackets from p-Mechanics
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