English

Twisted acceleration-enlarged Newton-Hooke space-times and conservative force terms

Mathematical Physics 2012-11-30 v1 General Relativity and Quantum Cosmology math.MP

Abstract

There are analyzed two classical systems defined on twist-deformed acceleration-enlarged Newton-Hooke space-times - nonrelativistic particle moving in constant field force F\vec{F} and harmonic oscillator model. It is demonstrated that only in the case of canonical twist deformation the force terms generated by space-time noncommutativity remain conservative for both models.

Keywords

Cite

@article{arxiv.1108.1904,
  title  = {Twisted acceleration-enlarged Newton-Hooke space-times and conservative force terms},
  author = {Marcin Daszkiewicz},
  journal= {arXiv preprint arXiv:1108.1904},
  year   = {2012}
}

Comments

9 pages, no figure