A planar Runge-Lenz vector
arXiv:hep-th/0112067 · doi:10.1063/1.1420399
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.
arXiv comment13 pages