The fields and self-force of a constantly accelerating spherical shell
We present a partial differential equation describing the electromagnetic potentials around a charge distribution undergoing rigid motion at constant proper acceleration, and obtain a set of solutions to this equation. These solutions are used to find the self-force exactly in a chosen case. The ele...
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| Format: | Journal article |
| Language: | English |
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2014
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| _version_ | 1826258533941772288 |
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| author | Steane, A |
| author_facet | Steane, A |
| author_sort | Steane, A |
| collection | OXFORD |
| description | We present a partial differential equation describing the electromagnetic potentials around a charge distribution undergoing rigid motion at constant proper acceleration, and obtain a set of solutions to this equation. These solutions are used to find the self-force exactly in a chosen case. The electromagnetic self-force for a spherical shell of charge of proper radius R undergoing rigid motion at constant proper acceleration a0 is, to high-order approximation, (2e2a0/R) ∑∞n=0 (a0R)2n((2n - 1)(2n + 1)2(2n + 3))-1, and this is conjectured to be exact. © 2013 The Author(s) Published by the Royal Society. All rights reserved. |
| first_indexed | 2024-03-06T18:35:27Z |
| format | Journal article |
| id | oxford-uuid:0b0fff5a-8914-4f58-8641-6b412ec115a5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:35:27Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | oxford-uuid:0b0fff5a-8914-4f58-8641-6b412ec115a52022-03-26T09:27:27ZThe fields and self-force of a constantly accelerating spherical shellJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0b0fff5a-8914-4f58-8641-6b412ec115a5EnglishSymplectic Elements at Oxford2014Steane, AWe present a partial differential equation describing the electromagnetic potentials around a charge distribution undergoing rigid motion at constant proper acceleration, and obtain a set of solutions to this equation. These solutions are used to find the self-force exactly in a chosen case. The electromagnetic self-force for a spherical shell of charge of proper radius R undergoing rigid motion at constant proper acceleration a0 is, to high-order approximation, (2e2a0/R) ∑∞n=0 (a0R)2n((2n - 1)(2n + 1)2(2n + 3))-1, and this is conjectured to be exact. © 2013 The Author(s) Published by the Royal Society. All rights reserved. |
| spellingShingle | Steane, A The fields and self-force of a constantly accelerating spherical shell |
| title | The fields and self-force of a constantly accelerating spherical shell |
| title_full | The fields and self-force of a constantly accelerating spherical shell |
| title_fullStr | The fields and self-force of a constantly accelerating spherical shell |
| title_full_unstemmed | The fields and self-force of a constantly accelerating spherical shell |
| title_short | The fields and self-force of a constantly accelerating spherical shell |
| title_sort | fields and self force of a constantly accelerating spherical shell |
| work_keys_str_mv | AT steanea thefieldsandselfforceofaconstantlyacceleratingsphericalshell AT steanea fieldsandselfforceofaconstantlyacceleratingsphericalshell |