TY - JOUR UR - http://lib.ugent.be/catalog/pug01:7901978 ID - pug01:7901978 LA - eng TI - Generalised Maxwell equations in higher dimensions PY - 2016 JO - (2016) COMPLEX ANALYSIS AND OPERATOR THEORY SN - 1661-8254 PB - PICASSOPLATZ 4 AU - Eelbode, David AU - Roels, Matthias UGent 000120557862 802001694405 AB - 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. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 7901978 | ||
005 | 20171130130829.0 | ||
008 | 160630s2016------------------------eng-- | ||
022 | a 1661-8254 | ||
024 | a 000368686800003 2 wos | ||
024 | a 1854/LU-7901978 2 handle | ||
024 | a 10.1007/s11785-014-0436-5 2 doi | ||
040 | a UGent | ||
245 | a Generalised Maxwell equations in higher dimensions | ||
260 | a PICASSOPLATZ 4, BASEL, 4052, SWITZERLAND b SPRINGER BASEL AG c 2016 | ||
520 | a 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. | ||
598 | a A1 | ||
700 | a Eelbode, David | ||
700 | a Roels, Matthias u UGent 0 000120557862 0 802001694405 0 971469209991 9 48DE723E-FC5C-11E1-8B8A-AC6710BDE39D | ||
650 | a Mathematics and Statistics | ||
653 | a Spin | ||
653 | a Representations | ||
653 | a Clifford Analysis | ||
653 | a Operators | ||
773 | t COMPLEX ANALYSIS AND OPERATOR THEORY g COMPLEX ANALYSIS AND OPERATOR THEORY. 2016. SPRINGER BASEL AG. 10 (2) p.267-293 q 10:2<267 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/7901978/file/7901979 z [ugent] y 2016_de_mr_Generalised_Maxwell_equations_in_higher_dimensions.pdf | ||
920 | a article | ||
Z30 | x EA 1 TW16 | ||
922 | a UGENT-EA |
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