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An analogue of the Sommerfeld radiation condition for the Dirac operator

Vladislav V. Kravchenko·Raul Castillo P
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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.

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Vladislav V. Kravchenko, Raul Castillo P. 2000-08-31. An analogue of the Sommerfeld radiation condition for the Dirac operator. https://doi.org/10.1002/mma.377

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