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On the nonradiating motion of point charges

Massimo Marino

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We investigate the possible existence of nonradiating motions of systems of point charges, according to classical electrodynamics with retarded potentials. We prove that two point particles of arbitrary electric charges cannot move for an infinitely long time within a finite region of space without radiating electromagnetic energy. We show however with an example that nonradiating accelerated motions of systems of point charges do in general exist.


PACS

41.20.Cv Electrostatics; Poisson and Laplace equations, boundary-value problems

03.50.De Classical electromagnetism, Maxwell equations

MSC

78Mxx Basic methods

78A35 Motion of charged particles

78A25 Electromagnetic theory, general

78A40 Waves and radiation

Subjects

Accelerators, beams and electromagnetism

Particle physics and field theory

Dates

Issue 33 (22 August 2008)

Received 14 May 2008, in final form 17 June 2008

Published 15 July 2008



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