Debye Potentials for Maxwell and Dirac Fields from a Generalisation of the Killing-Yano Equation

Abstract

By using conformal Killing-Yano tensors, and their generalisations, we obtain scalar potentials for both the source-free Maxwell and massless Dirac equations. For each of these equations we construct, from conformal Killing-Yano tensors, symmetry operators that map any solution to another.

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