Newton equation for canonical, Lie-algebraic, and quadratic deformation of classical space
Journal Article
·
· Physical Review. D, Particles Fields
- Institute of Theoretical Physics, University of Wroclaw, pl. Maxa Borna 9, 50 - 206 Wroclaw (Poland)
- Department of Physics, University of Bialystok, ul. Lipowa 41, 15 - 424 Bialystok (Poland)
The Newton equation describing particle motion in a 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 the particle is generated. We also indicate that in the case of spatial coordinates commuting in a Lie-algebraic way, as well as for quadratic deformation, there appear additional velocity and position-dependent forces.
- OSTI ID:
- 21205003
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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