Generating of additional force terms in Newton equation by twist-deformed Hopf algebras and classical symmetries
arXiv:1208.0718 · doi:10.1142/S0219887812610038
Abstract
We compare two ways of force terms generating in the model of nonrelativistic particle moving in the presence of constant field force . First of them uses the twist-deformed acceleration-enlarged Newton-Hooke quantum space-times while the second one incorporates the doubly enlarged Newton-Hooke transformations of classical space. Particulary, we find the conditions for which the both treatments provide the same force terms.
arXiv commentto appear in Proceedings of the 29th Max Born Symposium, no figures, 10 pages, Latex source
References in corpus (18)
- High-Energy Tests of Lorentz Invariance
- Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED
- Study of the anomalous acceleration of Pioneer 10 and 11
- Indication, from Pioneer 10/11, Galileo, and Ulysses Data, of an Apparent Anomalous, Weak, Long-Range Acceleration
- On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
- New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications
- An infrared background--TeV gamma-ray crisis?
- Galilean-Invariant (2+1)-Dimensional Models with a Chern-Simons-Like Term and D=2 N oncommutative Geometry
- New Lie-Algebraic and Quadratic Deformations of Minkowski Space from Twisted Poincare Symmetries
- Twisted Classical Poincaré Algebras
- Newton's Equation on the kappa space-time and the Kepler problem
- Newton equation for canonical, Lie-algebraic and quadratic deformation of classical space
- Quantum Orthogonal Planes: ISO_{q,r}(N) and SO_{q,r}(N) -- Bicovariant Calculi and Differential Geometry on Quantum Minkowski Space
- DSR Relativistic Particle in a Lagrangian formulation and Non-Commutative Spacetime: A Gauge Independent Analysis
- Canonical and Lie-algebraic twist deformations of Galilei algebra
- Classical Mechanics on Noncommutative Space with Lie-algebraic Structure
- Enlarged NH symmetries: Particle Dynamics and Gauge Symmetries
- Canonical, Lie-algebraic and quadratic twist deformations of Galilei group