Explicit solutions of the inhomogeneous Dirac equation
The authors give a unified method which generalizes the idea of the second author in [Clifford algebras and their applications in mathematical physics, Proc. 2nd Workshop, Montpellier/Fr. 1989, Fundam. Theor. Phys. 47, 413-424 (1992; Zbl 0756.35103)] from the Cauchy-Riemann operator \(\partial_x+ \partial_t\) to the Dirac operator \(\partial_x+\partial_y\) in \(\mathbb{R}^m\). The method is applied to eight examples, including plane waves, zonal functions, Cauchy kernels and electromagnetic fields.
scientific article; zbMATH DE number 1038438
scientific article