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An exact formula for electromagnetic momentum in terms of the charge density and the Coulomb gauge vector potential
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0003-0130-9643
2018 (English)In: European journal of physics, ISSN 0143-0807, E-ISSN 1361-6404, Vol. 39, no 2, article id 025202Article in journal (Refereed) Published
Abstract [en]

The electromagnetic momentum p=1(4 pi c) integral E x BdV is sometimes approximated by p(0)=(1/c) integral rho AdV, where rho is the charge density and A is the Coulomb gauge vector potential. Here, we show that p(0) is the first term in an exact two-term expression p = p(0)+p(1) where the second term refers to radiation. When the charge density is zero, p = p(1) is the momentum of fields propagating in vacuum. In the presence of charged particles, however, p(0) normally dominates. We argue that p(0) is the natural formula for the electromagnetic momentum when radiation can be neglected. It is shown that this term may in fact be much larger than the purely mechanical contribution from mass times velocity.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2018. Vol. 39, no 2, article id 025202
Keywords [en]
electromagnetic momentum, Coulomb gauge, Darwin Lagrangian, canonical momentum
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-221915DOI: 10.1088/1361-6404/aa9051ISI: 000419797400002Scopus ID: 2-s2.0-85043573308OAI: oai:DiVA.org:kth-221915DiVA, id: diva2:1179485
Note

QC 20180201

Available from: 2018-02-01 Created: 2018-02-01 Last updated: 2018-03-27Bibliographically approved

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Essén, Hanno

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