Formulation of the Classical Mechanics in the Ring of Operators

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dc.creatorVercin, A.
dc.date1999-02-18
dc.date.accessioned2026-07-07T06:16:13Z
dc.date.available2026-07-07T06:16:13Z
dc.descriptionBy making use of the Weyl-Wigner-Groenewold-Moyal association rules, a commutative product and a new quantum bracket are constructed in the ring of operators \cal{F}(H). In this way, an isomorphism between Lie algebra of classical observables (with Poisson bracket) and the Lie algebra of quantum observables with this new bracket is established. By these observations, a formulation of the classical mechanics in \cal{F}(H} is obtained and is shown to be \hbar\to 0 limit of the Heisenberg picture formulation of the quantum mechanics.
dc.description14 Pages
dc.identifierhttps://arxiv.org/abs/quant-ph/9902064
dc.identifierhttp://arxiv.org/abs/quant-ph/9902064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93990
dc.subjectQuantum Physics
dc.titleFormulation of the Classical Mechanics in the Ring of Operators
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