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N = 2 supersymmetric radiation damping problem on a noncommutative plane

Authors

  • Everton M. C. Abreu,

    Corresponding author
    1. Grupo de Física Teórica e Matemática Física, Departamento de Física, Universidade Federal Rural do Rio de Janeiro, Seropédica, RJ, Brazil
    2. Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, MG, Brazil
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  • Albert C. R. Mendes,

    1. Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, MG, Brazil
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  • Wilson Oliveira

    1. Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, MG, Brazil
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    • Dedicated to the memory of Prof. Wilson Oliveira


Abstract

It is well known that a direct Lagrangian description of radiation damping is still missing. In this paper a specific approach to this problem is used, which is different from the standard way to treat the radiation damping problem. An math formula supersymmetric extension for the model describing radiation damping on the noncommutative plane with electric and magnetic interactions was obtained. The entire supercharge algebra and the total Hamiltonian for the system were analyzed. Finally, noncommutativity features were introduced and their consequences explored.

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