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An analogue of the Sommerfeld radiation condition for the Dirac operator
Author(s) -
Kravchenko Vladislav V.,
Castillo P. Raúl
Publication year - 2002
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.377
Subject(s) - clifford analysis , dirac operator
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. Copyright © 2002 John Wiley & Sons, Ltd.