Newton equation for canonical, Lie-algebraic and quadratic deformation of classical space

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dc.creatorDaszkiewicz, Marcin
dc.creatorWalczyk, Cezary J.
dc.date2008-02-25
dc.date2009-01-27
dc.date.accessioned2026-07-07T12:34:11Z
dc.date.available2026-07-07T12:34:11Z
dc.descriptionThe Newton equation describing the particle motion in constant external field force on canonical, Lie-algebraic and quadratic space-time is investigated. We show that for canonical deformation of space-time the dynamical effects are absent, while in the case of Lie-algebraic noncommutativity, when spatial coordinates commute to the time variable, the additional acceleration of particle is generated. We also indicate, that in the case of spatial coordinates commuting in Lie-algebraic way, as well as for quadratic deformation, there appear additional velocity and position-dependent forces.
dc.description14 pages, 2 figures, v2: three references added, v3: accepted for publication in Physical Review D, v4: the page numbers for all references in preprint version are provided
dc.identifierhttps://arxiv.org/abs/0802.3575
dc.identifierhttp://arxiv.org/abs/0802.3575
dc.identifierPhys.Rev.D77:105008,2008
dc.identifierdoi:10.1103/PhysRevD.77.105008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217334
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleNewton equation for canonical, Lie-algebraic and quadratic deformation of classical space
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