TITLE:
On the Foundations of the Classical Relativistic Theory of the Field of an Accelerated Extended Charge
AUTHORS:
Magomed B. Ependiev
KEYWORDS:
Classical Relativistic Theory, Accelerated Extended Charge
JOURNAL NAME:
Journal of Modern Physics,
Vol.6 No.5,
April
16,
2015
ABSTRACT: The effect of nonzero extent of an electric charge is considered within
the assumption that the structure of the charge at rest is
spherically-symmetric and the current vector is linear in the acceleration. An
exact expression for the electromagnetic field of the charge is obtained, which
depends on the specific form of the charge distribution. We have developed the
approximations which deal with the charge distribution through its low-order
moments, for the case in which the particle velocity does not considerably
change over the time it covers a distance of the order of its own size. We have
also rigorously justified the Lorentz-Abraham-Dirac expression for the
radiation friction (we have identified a more general context for this
expression as well as its applicability domain). We have also studied the
radiation field and demonstrated that in some cases, the radiation virtually
vanishes even for large accelerations. Ways of further development of the
theory have been pointed out, in order to include more general forms of the
current vector (dependence of the deformation of the charge structure on the
acceleration, rotation of the structure around the centre of the charge,
ultrarelativistic regimes).