On the one-dimensional symmetric two-body problem of classical electrodynamics

1976 ◽  
Vol 15 (2) ◽  
pp. 157-167 ◽  
Author(s):  
V. I. Zhdanov
Keyword(s):  
Body Problem ◽  
Classical Electrodynamics ◽  
One Dimensional ◽  
Two Body Problem ◽  
The One

The Problem of Radiation Reaction in Classical Electrodynamics

1976 ◽  
Vol 31 (10) ◽  
pp. 1133-1142 ◽  
Author(s):  
M. Sorg
Keyword(s):  
Radiation Reaction ◽  
The Other ◽  
Classical Electrodynamics ◽  
Momentum Balance ◽  
Covariant Theory ◽  
Dirac Theory ◽  
Principle Of Equivalence ◽  
One Dimensional ◽  
General Energy ◽  
The One

Abstract A new covariant theory of the classical radiating electron is compared with other radiation reaction theories: On the one hand, the new theory can be deduced from Caldirola's finite-dif-ferences theory by suitable approximations; on the other hand, the Lorentz-Dirac theory and the theory of Mo and Papas are shown to be approximative forms of the new theory. The latter is free from the difficulties of the other theories: there are no undetermined internal oscillations, no runaway solutions and pre-acceleration effects, and radiation reaction exists in the case of one-dimensional motion. The general energy-momentum balance is studied, and the implications of the existence of radiation reaction in a static constant force field are discussed with regard to the principle of equivalence.

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