Theory of hybrid systems. I. The operator formulation of classical mechanics and semiclassical limit

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dc.creatorPrvanovic, S.
dc.creatorMaric, Z.
dc.date2001-03-09
dc.date.accessioned2026-07-07T06:01:44Z
dc.date.available2026-07-07T06:01:44Z
dc.descriptionThe algebra of polynomials in operators that represent generalized coordinate and momentum and depend on the Planck constant is defined. The Planck constant is treated as the parameter taking values between zero and some nonvanishing $h_0$. For the second of these two extreme values, introduced operatorial algebra becomes equivalent to the algebra of observables of quantum mechanical system defined in the standard manner by operators in the Hilbert space. For the vanishing Planck constant, the generalized algebra gives the operator formulation of classical mechanics since it is equivalent to the algebra of variables of classical mechanical system defined, as usually, by functions over the phase space. In this way, the semiclassical limit of kinematical part of quantum mechanics is established through the generalized operatorial framework.
dc.description14 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/quant-ph/0103044
dc.identifierhttp://arxiv.org/abs/quant-ph/0103044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89365
dc.subjectQuantum Physics
dc.titleTheory of hybrid systems. I. The operator formulation of classical mechanics and semiclassical limit
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