A self-action problem for a pointlike charged particle arbitrarily moving in flat space-time of three dimensions is considered. Outgoing waves carry energy-momentum and angular momentum; the radiation removes energy, momentum, and angular momentum from the source which then undergoes a radiation reaction. We decompose Noether quantities carried by electromagnetic field into bound and radiative components. The bound terms are absorbed by individual particle’s characteristics within the renormalization procedure. Radiative terms together with already renormalized 3-momentum and angular momentum of pointlike charge constitute the total conserved quantities of our particle plus field system. Their differential consequences yield the effective equation of motion of radiating charge in an external electromagnetic field. In this integrodifferential equation the radiation reaction is determined by Lorentz force of pointlike charge acting upon itself plus nonlocal term which provides finiteness of the self-action.
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September 2007
Research Article|
September 12 2007
Radiation reaction in electrodynamics
Yurij Yaremko
Yurij Yaremko
a)
Institute for Condensed Matter Physics
, 1 Svientsitskii Street, 79011 Lviv, Ukraine
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Electronic mail: yar@ph.icmp.lviv.ua
J. Math. Phys. 48, 092901 (2007)
Article history
Received:
March 30 2007
Accepted:
August 13 2007
Citation
Yurij Yaremko; Radiation reaction in electrodynamics. J. Math. Phys. 1 September 2007; 48 (9): 092901. https://doi.org/10.1063/1.2779765
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