Deformation quantization of noncommutative quantum mechanics and dissipation

Simple item page
dc.creatorBastos, C.
dc.creatorBertolami, O.
dc.creatorDias, N. C.
dc.creatorPrata, J. N.
dc.date2006-12-21
dc.date.accessioned2026-07-07T10:38:01Z
dc.date.available2026-07-07T10:38:01Z
dc.descriptionWe review the main features of the Weyl-Wigner formulation of noncommutative quantum mechanics. In particular, we present a $\star$-product and a Moyal bracket suitable for this theory as well as the concept of noncommutative Wigner function. The properties of these quasi-distributions are discussed as well as their relation to the sets of ordinary Wigner functions and positive Liouville probability densities. Based on these notions we propose criteria for assessing whether a commutative regime has emerged in the realm of noncommutative quantum mechanics. To induce this noncommutative-commutative transition, we couple a particle to an external bath of oscillators. The master equation for the Brownian particle is deduced.
dc.description7 pages, Latex file, Based on a talk presented by Joao Prata at D.I.C.E. 2006, Piombino, Italy
dc.identifierhttps://arxiv.org/abs/hep-th/0612239
dc.identifierhttp://arxiv.org/abs/hep-th/0612239
dc.identifierJ.Phys.Conf.Ser.67:012058,2007
dc.identifierdoi:10.1088/1742-6596/67/1/012058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180575
dc.subjectHigh Energy Physics - Theory
dc.titleDeformation quantization of noncommutative quantum mechanics and dissipation
dc.typetext

Files

Collections

arXiv