Lipkin’s conservation law in vacuum electromagnetic fields
| Autor: | Paul Strange, Gregory Smith |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Electromagnetic field Physics Conservation law Angular momentum Field line General Physics and Astronomy Statistical and Nonlinear Physics 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences Conserved quantity QC20 Momentum Theoretical physics Modeling and Simulation 0103 physical sciences Classical electromagnetism QC355 010306 general physics 0210 nano-technology Mathematical Physics Topology (chemistry) |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical. 51:435204 |
| ISSN: | 1751-8121 1751-8113 |
| Popis: | Lipkin’s zilches are a set of little-known conserved quantities in classical\ud electromagnetic theory. Here we report a systematic calculation of the\ud zilches for topologically non-trivial vacuum electromagnetic fields and their\ud interpretation in terms of both the physical and mathematical properties of\ud the fields. Several families of electromagnetic fields have been explored and\ud examined computationally. In these cases it is found that the zilches can be\ud written in terms of more familiar conserved quantities: energy, momentum\ud and angular momentum. Furthermore we demonstrate that the zilches also\ud contain information about the topology of the field lines for the fields we\ud have examined, thus providing a previously unsuspected aspect to their\ud interpretation. We conjecture that these properties generalise to all integrable\ud fields. |
| Databáze: | OpenAIRE |
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