A study of the radiation-reaction on a point charge that moves along a constant applied electric field in an electromagnetic Bopp-Landé-Thomas-Podolsky vacuum
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866929479821033472 |
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| author | Carley, Holly K. Kiessling, Michael K. -H. |
| author_facet | Carley, Holly K. Kiessling, Michael K. -H. |
| contents | The relativistic problem of motion of a classical electrical point charge that has been placed between the plates of a charged capacitor and then released from rest is well-posed in Bopp-Landé-Thomas-Podolsky (BLTP) electrodynamics. That theory introduces a single new parameter, Bopp's $\varkappa$, a reciprocal length. The present article concerns the small-$\varkappa$ regime. Radiation-reaction effects on the motion are shown to appear at order $\varkappa^3$. It is found that in the initial phase the motion is accurately accounted for by test particle theory, with the inertia determined by the bare mass of the particle. Subsequently, radiation-reaction effects cause substantial deviations from the test particle motion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_01720 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A study of the radiation-reaction on a point charge that moves along a constant applied electric field in an electromagnetic Bopp-Landé-Thomas-Podolsky vacuum Carley, Holly K. Kiessling, Michael K. -H. Classical Physics General Relativity and Quantum Cosmology Mathematical Physics Primary: 78, 83 The relativistic problem of motion of a classical electrical point charge that has been placed between the plates of a charged capacitor and then released from rest is well-posed in Bopp-Landé-Thomas-Podolsky (BLTP) electrodynamics. That theory introduces a single new parameter, Bopp's $\varkappa$, a reciprocal length. The present article concerns the small-$\varkappa$ regime. Radiation-reaction effects on the motion are shown to appear at order $\varkappa^3$. It is found that in the initial phase the motion is accurately accounted for by test particle theory, with the inertia determined by the bare mass of the particle. Subsequently, radiation-reaction effects cause substantial deviations from the test particle motion. |
| title | A study of the radiation-reaction on a point charge that moves along a constant applied electric field in an electromagnetic Bopp-Landé-Thomas-Podolsky vacuum |
| topic | Classical Physics General Relativity and Quantum Cosmology Mathematical Physics Primary: 78, 83 |
| url | https://arxiv.org/abs/2303.01720 |