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Rarita–Schwinger Type Operators in Clifford Analysis

✍ Scribed by J. Bureš; F. Sommen; V. Souček; P. Van Lancker

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
204 KB
Volume
185
Category
Article
ISSN
0022-1236

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✦ Synopsis

In this paper we investigate a generalization of the classical Rarita-Schwinger equations for spin 3/2 fields to the case of functions taking values in irreducible representation spaces with weight k+1/2. These fields may be realised as functions taking values in spaces of spherical monogenics earlier considered in F. Sommen and N. Van Acker (1993, in ''Clifford Algebras and Their Applications in Mathematical Physics,'' Kluwer Academic, Dordrecht/Norwell, MA). In this paper we develop the main function theoretic results.

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