Symmetry considerations on radiation damping

It is well known that a direct Lagrangian description of radiation damping is still missing. In this paper we will use a specific approach of this problem which is the standard way to treat the radiation damping problem. The objectives here are to construct: a N=2 supersymmetric extension for the model describing the radiation damping on the noncommutative plane with electric and magnetic interactions; a dualization analysis of the original action; the supercharge algebra and the total Hamiltonian for the system.