A planar Runge-Lenz vector
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.
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