NDLI: Exact solution of the EM radiation-reaction problem for classical finite-size and Lorentzian charged particles

Content Provider	Springer Nature Link
Author	Cremaschini, C. Tessarotto, M.
Copyright Year	2011
Abstract	An exact solution is given to the classical electromagnetic (EM) radiation-reaction (RR) problem, originally posed by Lorentz. This refers to the dynamics of classical non-rotating and quasi-rigid finite-size particles subject to an external prescribed EM field. A variational formulation of the problem is presented. It is shown that a covariant representation for the EM potential of the self-field generated by the extended charge can be uniquely determined, consistent with the principles of classical electrodynamics and relativity. By construction, the retarded self-4-potential does not possess any divergence, contrary to the case of point charges. As a fundamental consequence, based on the Hamilton variational principle, an exact representation is obtained for the relativistic equation describing the dynamics of a finite-size charged particle (RR equation), which is shown to be realized by a second-order delay-type ODE. Such equation is proved to apply also to the treatment of Lorentzian particles, i.e., point-masses with finite-size charge distributions, and to recover the usual LAD equation in a suitable asymptotic approximation. Remarkably, the RR equation admits both standard Lagrangian and conservative forms, expressed, respectively, in terms of a non-local effective Lagrangian and a stress-energy tensor. Finally, consistent with the Newton principle of determinacy, it is proved that the corresponding initial-value problem admits a local existence and uniqueness theorem, namely it defines a classical dynamical system.
Starting Page	1
Ending Page	21
Page Count	21
File Format	PDF
Journal	The European Physical Journal Plus
Volume Number	126
Issue Number	4
e-ISSN	21905444
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-04-21
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Statistical Physics, Dynamical Systems and Complexity Applied and Technical Physics Atomic, Molecular, Optical and Plasma Physics Condensed Matter Physics Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article

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