Abstract
Following Dahl’s method an exact Runge–Lenz vector M with two components M1 and M2 is obtained as a constant of motion for a two particle system with charges e1 and e2 whose electromagnetic interaction is based on Chern–Simons electrodynamics. The Poisson bracket {M1,M2}≠Lz but is modified by the appearance of the product e1e2 as central charges.
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