Smith, G., Strange, Paul (2018) Lipkin’s conservation law in vacuum electromagnetic fields. Journal of Physics A: Mathematical and Theoretical, 51 (43). Article Number 435204. ISSN 1751-8121. E-ISSN 1751-8121. (doi:10.1088/1751-8121/aae15f) (KAR id:69293)
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Official URL: https://doi.org/10.1088/1751-8121/aae15f |
Abstract
Lipkin’s zilches are a set of little-known conserved quantities in classical
electromagnetic theory. Here we report a systematic calculation of the
zilches for topologically non-trivial vacuum electromagnetic fields and their
interpretation in terms of both the physical and mathematical properties of
the fields. Several families of electromagnetic fields have been explored and
examined computationally. In these cases it is found that the zilches can be
written in terms of more familiar conserved quantities: energy, momentum
and angular momentum. Furthermore we demonstrate that the zilches also
contain information about the topology of the field lines for the fields we
have examined, thus providing a previously unsuspected aspect to their
interpretation. We conjecture that these properties generalise to all integrable
fields.
Item Type: | Article |
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DOI/Identification number: | 10.1088/1751-8121/aae15f |
Uncontrolled keywords: | Physics of Quantum Materials, electromagnetism, Lipkin’s zilches, knotted light |
Subjects: |
Q Science > QC Physics > QC20 Mathematical Physics Q Science > QC Physics > QC355 Optics |
Divisions: | Divisions > Division of Natural Sciences > Physics and Astronomy |
Depositing User: | Paul Strange |
Date Deposited: | 27 Sep 2018 16:21 UTC |
Last Modified: | 09 Dec 2022 05:22 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/69293 (The current URI for this page, for reference purposes) |
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