Explicit solutions of the inhomogeneous Dirac equation
type: Item
instance of: scholarly article
title: Explicit solutions of the inhomogeneous Dirac equation
zbMATH Open document ID: 0883.30041
DOI: 10.1007/BF02788022
author: Bernard Jancewicz
author: Frank Sommen
published in: Journal d'Analyse Mathématique
publication date: 1998-03-09T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 30G35
zbMATH DE Number: 1038438
zbMATH Keywords: Dirac equation
zbMATH Keywords: Cauchy-Kowalewski problem
MaRDI profile type: Publication
cites work: Special bi-axial monogenic functions
cites work: Q3138397
cites work: Q4003806
cites work: Q5574699
cites work: Q4040289
cites work: Q4026238
cites work: Plane wave decompositions of monogenic functions
cites work: Monogenic differential operators
cites work: Q4026229
full work available at URL: https://doi.org/10.1007/bf02788022
OpenAlex ID: W1967888884
description: scientific article; zbMATH DE number 1038438