The problem of two interacting charged particles in three dimensions, including effects of radiation reaction, is formulated abstractly and an existence/uniqueness theorem is proved for a suitable "initial segment problem." The delay-differential equations are treated in the cases of pure retarded a
On the well-posed two-body problem in electrodynamics and special relativity II
โ Scribed by J.A Murdock
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 428 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
โฆ Synopsis
The initial segment problem for two interacting charged particles is studied and errors are corrected in the author's previous paper on this problem. An existenceiuniqueness theorem holds for the forward extension under retarded interaction; a uniqueness theorem holds for the backward extension and also for time-symmetric interactions. An example is given which shows the difficulties which can arise in backwards extension.
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