Variational approach to dequantization

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dc.creatorMosna, Ricardo A.
dc.creatorHamilton, Ian P.
dc.creatorSite, Luigi Delle
dc.date2005-11-08
dc.date2006-03-28
dc.date.accessioned2026-07-07T06:52:41Z
dc.date.available2026-07-07T06:52:41Z
dc.descriptionWe present a dequantization procedure based on a variational approach whereby quantum fluctuations latent in the quantum momentum are suppressed. This is done by adding generic local deformations to the quantum momentum operator which give rise to a deformed kinetic term quantifying the amount of ``fuzzyness'' caused by such fluctuations. Considered as a functional of such deformations, the deformed kinetic term is shown to possess a unique minimum which is seen to be the classical kinetic energy. Furthermore, we show that extremization of the associated deformed action functional introduces an essential nonlinearity to the resulting field equations which are seen to be the classical Hamilton-Jacobi and continuity equations. Thus, a variational procedure determines the particular deformation that has the effect of suppressing the quantum fluctuations, resulting in dequantization of the system.
dc.description6 pages, 1 figure. v2: changes in presentation and content
dc.identifierhttps://arxiv.org/abs/quant-ph/0511068
dc.identifierhttp://arxiv.org/abs/quant-ph/0511068
dc.identifierJ. Phys. A 39, L229-L235 (2006)
dc.identifierdoi:10.1088/0305-4470/39/14/L03
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105379
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleVariational approach to dequantization
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