The locally-conserved current density of the Lienard-Wiechert field
| dc.creator | Gsponer, Andre | |
| dc.date | 2006-12-10 | |
| dc.date | 2008-12-31 | |
| dc.date.accessioned | 2026-07-07T12:23:15Z | |
| dc.date.available | 2026-07-07T12:23:15Z | |
| dc.description | The complete charge-current density and field strength of an arbitrarily accelerated relativistic point-charge are explicitly calculated. That current includes, apart from the well-established delta-function term which is sufficient for its global conservation, additional contributions depending on the second and third proper-time derivatives of the position. These extra contributions are necessary for the local conservation of that current, whose divergence must vanish {identically} even if it is a distribution, as is the case here. Similarly, the field strength includes an additional delta-like contribution which is necessary for obtaining this result. Altogether, the Lienard-Wiechert field and charge-current density must therefore be interpreted as nonlinear generalized functions, i.e., not just as distributions, even though only linear operations are needed to verify local charge-current conservation. | |
| dc.description | 9 pages. Short version of arXiv:physics/0612232 | |
| dc.identifier | https://arxiv.org/abs/physics/0612090 | |
| dc.identifier | http://arxiv.org/abs/physics/0612090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213923 | |
| dc.subject | Classical Physics | |
| dc.title | The locally-conserved current density of the Lienard-Wiechert field | |
| dc.type | text |