Second-order equation of motion for electromagnetic radiation back-reaction
Keyword(s):
The Self
◽
We take the viewpoint that the physically acceptable solutions of the Lorentz–Dirac equation for radiation back-reaction are actually determined by a second-order equation of motion, the self-force being given as a function of spacetime location and velocity. We propose three different methods to obtain this self-force function. For two example systems, we determine the second-order equation of motion exactly in the non-relativistic regime via each of these three methods, leading to the same result. We reveal that, for both systems considered, back-reaction induces a damping proportional to velocity and, in addition, it decreases the effect of the external force.
1974 ◽
Vol 337
(1611)
◽
pp. 591-598
◽
Keyword(s):
1934 ◽
Vol 145
(855)
◽
pp. 645-656
◽
1991 ◽
Vol 63
(4)
◽
pp. 185-187
◽
Keyword(s):
2010 ◽
Vol 17
(4)
◽
pp. 485-490
◽
2018 ◽
Vol 174
(1-2)
◽
pp. 1-47
◽