Publication
Title
Generalised Maxwell equations in higher dimensions
Author
Abstract
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.
Language
English
Source (journal)
Complex analysis and operator theory
Publication
2016
ISSN
1661-8254
Volume/pages
10:2(2016), p. 267-293
ISI
000368686800003
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 10.03.2016
Last edited 22.10.2017
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