dc.creatorAngelo, RM
dc.creatorSanz, L
dc.creatorFuruya, K
dc.date2003
dc.dateJUL
dc.date2014-11-14T03:59:31Z
dc.date2015-11-26T17:13:08Z
dc.date2014-11-14T03:59:31Z
dc.date2015-11-26T17:13:08Z
dc.date.accessioned2018-03-29T00:01:32Z
dc.date.available2018-03-29T00:01:32Z
dc.identifierPhysical Review E. Amer Physical Soc, v. 68, n. 1, 2003.
dc.identifier1539-3755
dc.identifierWOS:000184582500041
dc.identifier10.1103/PhysRevE.68.016206
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/69728
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/69728
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/69728
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1281501
dc.descriptionWe propose a prescription to quantize classical monomials in terms of symmetric and ordered expansions of noncommuting operators of a bosonic theory. As a direct application of such quantization rules, we quantize a classically time evolved function O(q,p,t), and calculate its expectation value in coherent states. The result can be expressed in terms of the application of a classical operator that performs a Gaussian smoothing of the original function O evaluated at the center of the coherent state. This scheme produces a natural semiclassical expansion for the quantum expectation values at a short time scale. Moreover, since the classical Liouville evolution of a Gaussian probability density gives the same form for the classical statistical mean value, we can calculate the first-order correction in h entirely from the associated classical time evolved function. This allows us to write a general expression for the Ehrenfest time in terms of the departure of the centroid of the quantum distribution from the classical trajectory, provided we start with an initially coherent state for each subsystem. In order to illustrate this approach, we have calculated analytically the Ehrenfest time of a model with N-coupled nonlinear oscillators with nonlinearity of even order.
dc.description68
dc.description1
dc.description2
dc.languageen
dc.publisherAmer Physical Soc
dc.publisherCollege Pk
dc.publisherEUA
dc.relationPhysical Review E
dc.relationPhys. Rev. E
dc.rightsaberto
dc.rightshttp://publish.aps.org/authors/transfer-of-copyright-agreement
dc.sourceWeb of Science
dc.subjectAnharmonic-oscillator
dc.subjectQuantum
dc.subjectStochasticity
dc.subjectApproximation
dc.subjectMechanics
dc.subjectDynamics
dc.subjectSystems
dc.subjectStates
dc.titleOrdered quantization and the Ehrenfest time scale
dc.typeArtículos de revistas


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