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A planar Runge-Lenz vector

High Energy Physics - Theory 2015-06-26 v1

Abstract

Following Dahl's method an exact Runge-Lenz vector M with two components M and M is obtained as a constant of motion for a two particle-system with charges e and e whose electromagnetic interaction is based on Chern-Simons electrodynamics. The Poisson bracket {M, M} = L but is modified by the appearance of the product e e as central charges.

Cite

@article{arxiv.hep-th/0112067,
  title  = {A planar Runge-Lenz vector},
  author = {S. G. Kamath},
  journal= {arXiv preprint arXiv:hep-th/0112067},
  year   = {2015}
}

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13 pages