An analogue of the Sommerfeld radiation condition for the Dirac operator

Details An analogue of the Sommerfeld radiation condition for the Dirac operator An analogue of the Sommerfeld radiation condition for the Dirac operator

2000-08-31

arxiv.org/abs/math-ph/0008042v1

Mathematical Methods in the Applied Sciences, 2002, v. 25, No. 16-18, 1383-1394

Physics

Mathematical Physics

15 pages, 1 figure

Scientific paper

10.1002/mma.377

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.

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