An analogue of the Sommerfeld radiation condition for the Dirac operator

Abstract

A simple radiation condition at infinity for time-harmonic massive Dirac spinors is proposed. This condition allows an analogue of the Cauchy integral formula in unbounded domains for null-solutions of the Dirac equation to be proved. The result is obtained with the aid of methods of quaternionic analysis.

arXiv comment15 pages, 1 figure