H De Bie and F Sommen 2007 J. Phys. A: Math. Theor. 40 10441 doi:10.1088/1751-8113/40/34/004
H De Bie and F Sommen
Show affiliationsThe 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.
34L40 Particular operators (Dirac, one-dimensional Schrödinger, etc.)
Issue 34 (24 August 2007)
Received 12 June 2007
Published 7 August 2007
H De Bie and F Sommen 2007 J. Phys. A: Math. Theor. 40 10441
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