On Huygens' principle for Dirac operators associated to electromagnetic fields

被引：0
|
作者：
Chalub, FACC [1 ]
机构：
[1] IMPA, BR-22460320 Rio De Janeiro, Brazil
来源：
ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS | 2001年 / 73卷 / 04期
关键词：
Huygens' principle; Dirac operators; electromagnetic fields; Hadamard's problem;
D O I：
10.1590/S0001-37652001000400002
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We study the behavior of massless Dirac particles, i.e., solutions of the Dirac equation with m = 0 in the presence of an electromagnetic field. Our main result (Theorem 1) is that for purely real or imaginary fields any Huygens type (in Hadamard's sense) Dirac operators is equivalent to the free Dirac operator, equivalence given by changes of variables and multiplication (right and left) by nonzero functions.
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页码：483 / 493
页数：11
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