Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2019
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/1902.06386 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911922215976960 |
|---|---|
| author | Baza, Alan DeLeon, Aaron Harb, Angel Hoang, Vu Radosz, Maria |
| author_facet | Baza, Alan DeLeon, Aaron Harb, Angel Hoang, Vu Radosz, Maria |
| contents | This paper considers the relativistic motion of charged particles coupled with electromagnetic fields in the higher-order theory proposed by Bopp, Landé--Thomas, and Podolsky. We rigorously derive a world-line integral expression for the self-force of the charged particle from a distributional equation for the conservation of four-momentum only. This naturally leads to an equation of motion for charged particles that incorporates a history-dependent self-interaction. We show additionally that the same equation of motion follows from a variational principle for retarded fields. The self-force coincides with an expression proposed by Zayats and Gratus--Perlick--Tucker on the basis of an averaging procedure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1902_06386 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Radiation reaction in higher-order electrodynamics Baza, Alan DeLeon, Aaron Harb, Angel Hoang, Vu Radosz, Maria Mathematical Physics This paper considers the relativistic motion of charged particles coupled with electromagnetic fields in the higher-order theory proposed by Bopp, Landé--Thomas, and Podolsky. We rigorously derive a world-line integral expression for the self-force of the charged particle from a distributional equation for the conservation of four-momentum only. This naturally leads to an equation of motion for charged particles that incorporates a history-dependent self-interaction. We show additionally that the same equation of motion follows from a variational principle for retarded fields. The self-force coincides with an expression proposed by Zayats and Gratus--Perlick--Tucker on the basis of an averaging procedure. |
| title | Radiation reaction in higher-order electrodynamics |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/1902.06386 |