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

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

2008-02-25

arxiv.org/abs/0802.3575v4

Phys.Rev.D77:105008,2008

Physics

Mathematical Physics

14 pages, 2 figures, v2: three references added, v3: accepted for publication in Physical Review D, v4: the page numbers for a

Scientific paper

10.1103/PhysRevD.77.105008

The 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.

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