(a) Show that the radiation reaction force in the Lorentz-Dirac equation of Problem 16.7 can be expressed alternatively as

(b) The relativistic generalization of A6.10) can be obtained by replacing d2pv/d??2 by gvλ dFextλ/d?? in the expression for Fradμ. Show that the spatial part of the generalization of A6.10) becomes

where F is the spatial part of Fμext/γ. For a charged particle in external electric and magnetic fields F is the Lorentz force.

Transcribed Image Text:

P P.) d'p" m²c) dr 2e? Frad Зтс3