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2007 J. Phys. A: Math. Theor. 40 10441-10456 doi: 10.1088/1751-8113/40/34/004
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Abstract. The Clifford–Hermite and the Clifford–Gegenbauer polynomials of standard Clifford analysis are generalized to the new framework of Clifford analysis in superspace in a merely symbolic way. This means that one does not a priori need an integration theory in superspace. Furthermore, a lot of basic properties, such as orthogonality relations, differential equations and recursion formulae, are proven. Finally, an interesting physical application of the super Clifford–Hermite polynomials is discussed, thus giving an interpretation to the super-dimension.
PACS numbers: 02.30.Fn, 02.30.Gp, 02.30.Tb
Mathematics Subject Classification: 30G35, 58C50, 42C05
Print publication: Issue 34 (24 August 2007) |
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