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On the classical dynamics of non-rotating extended charges

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Il Nuovo Cimento B (1971-1996)

Summary

We go further with the analysis of Kaup’s equation of motion for extended charges, including radiation reaction, begun by Françaet al. We offer two series expansions which incorporate properly the time delay conditiont’ = t --R(t’)/c and allow to show the non-linear terms mentioned by Françaet al, clarifying the meaning of the usual approximations done and giving an alternative derivation of the Lorentz-Dirac equation. Our work offers a unified version of several studies of the dynamics of extended charges and gives arguments to establish that the general non-linear integro-differential equation of Kaup must have a causal behaviour. The difficulties to make the point charge limit found previously by Teitelboim are also exhibited.

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Authors and Affiliations

  1. Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa Apartado, México 04000 D.F., Postal 21-939, México

    J. A. E. Roa-Neri & J. L. Jiménez

  2. Departamento de Física, Facultad de Ciencias Universidad Nacional Autónoma de México, México D.F., México

    J. A. E. Roa-Neri

Authors
  1. J. A. E. Roa-Neri
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  2. J. L. Jiménez
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On sabbatical leave from Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México.

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Roa-Neri, J.A.E., Jiménez, J.L. On the classical dynamics of non-rotating extended charges. Il Nuovo Cimento B 108, 853–869 (1993). https://doi.org/10.1007/BF02828733

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