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Title
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Generalised Maxwell equations in higher dimensions
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Author
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Abstract
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| This paper deals with the generalisation of the classical Maxwell equations to arbitrary dimension and their connections with the Rarita-Schwinger equation. This is done using the framework of Clifford analysis, a multivariate function theory in which arbitrary irreducible representations for the spin group can be realised in terms of polynomials satisfying a system of differential equations. This allows the construction of generalised wave equations in terms of the unique conformally invariant second-order operator acting on harmonic-valued functions. We prove the ellipticity of this operator and use this to investigate the kernel, focusing on both polynomial solutions and the fundamental solution. |
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Language
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English
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Source (journal)
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Complex analysis and operator theory. - Basel, 2007, currens
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Publication
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Basel
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Birkhäuser Verlag AG
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2016
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ISSN
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1661-8254
[print]
1661-8262
[online]
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DOI
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10.1007/S11785-014-0436-5
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Volume/pages
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10
:2
(2016)
, p. 267-293
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ISI
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000368686800003
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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