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https://hdl.handle.net/1959.11/1587
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Radford, Christopher John | en |
dc.date.accessioned | 2009-05-19T09:55:00Z | - |
dc.date.issued | 2003 | - |
dc.identifier.citation | Journal of Physics A: Mathematical and General, 36(20), p. 5663-5681 | en |
dc.identifier.issn | 1361-6447 | en |
dc.identifier.issn | 0305-4470 | en |
dc.identifier.issn | 1751-8121 | en |
dc.identifier.issn | 1751-8113 | en |
dc.identifier.uri | https://hdl.handle.net/1959.11/1587 | - |
dc.description.abstract | The Maxwell–Dirac equations are the equations for electronic matter, the 'classical' theory underlying QED. The system combines the Dirac equations with the Maxwell equations sourced by the Dirac current. A stationary Maxwell–Dirac system has ψ = e⁻[iEt],φ with φ independent of t. The system is said to be isolated if the dependent variables obey quite weak regularity and decay conditions. In this paper, we prove the following strong localization result for isolated, stationary Maxwell–Dirac systems,• there are no embedded eigenvalues in the essential spectrum, i.e. −m ≤ E ≤ m;• if |E| < m then the Dirac field decays exponentially as |x| → ∞;• if |E| = m then the system is 'asymptotically' static and decays exponentially if the total charge is non-zero. | en |
dc.language | en | en |
dc.publisher | Institute of Physics Publishing Ltd | en |
dc.relation.ispartof | Journal of Physics A: Mathematical and General | en |
dc.title | The Stationary Maxwell-Dirac Equations | en |
dc.type | Journal Article | en |
dc.identifier.doi | 10.1088/0305-4470/36/20/321 | en |
dc.subject.keywords | Applied Mathematics | en |
local.contributor.firstname | Christopher John | en |
local.subject.for2008 | 010299 Applied Mathematics not elsewhere classified | en |
local.subject.seo | 780101 Mathematical sciences | en |
local.profile.school | School of Science and Technology | en |
local.profile.email | cradford@une.edu.au | en |
local.output.category | C1 | en |
local.record.place | au | en |
local.record.institution | University of New England | en |
local.identifier.epublicationsrecord | pes:772 | en |
local.publisher.place | United Kingdom | en |
local.format.startpage | 5663 | en |
local.format.endpage | 5681 | en |
local.identifier.scopusid | 0038176530 | en |
local.peerreviewed | Yes | en |
local.identifier.volume | 36 | en |
local.identifier.issue | 20 | en |
local.contributor.lastname | Radford | en |
dc.identifier.staff | une-id:cradford | en |
local.profile.role | author | en |
local.identifier.unepublicationid | une:1646 | en |
dc.identifier.academiclevel | Academic | en |
local.title.maintitle | The Stationary Maxwell-Dirac Equations | en |
local.output.categorydescription | C1 Refereed Article in a Scholarly Journal | en |
local.relation.url | http://arxiv.org/PS_cache/math-ph/pdf/0112/0112037v4.pdf | en |
local.search.author | Radford, Christopher John | en |
local.uneassociation | Unknown | en |
local.year.published | 2003 | en |
Appears in Collections: | Journal Article |
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