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arxiv: math-ph/0008042 · v1 · submitted 2000-08-31 · 🧮 math-ph · math.AP· math.MP

An analogue of the Sommerfeld radiation condition for the Dirac operator

classification 🧮 math-ph math.APmath.MP
keywords conditiondiracanalogueradiationallowsanalysiscauchydomains
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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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