An analogue of the Sommerfeld radiation condition for the Dirac operator
Mathematical Physics
2009-10-31 v1 Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0008042,
title = {An analogue of the Sommerfeld radiation condition for the Dirac operator},
author = {Vladislav V. Kravchenko and Raul Castillo P},
journal= {arXiv preprint arXiv:math-ph/0008042},
year = {2009}
}
Comments
15 pages, 1 figure