On Huygens' principle for Dirac operators associated to electromagnetic fields

Anais da Academia Brasileira de Ciências

Fabio A.c.c. Chalub¹ 

[1] ,Instituto de Matemática Pura e AplicadaRio de Janeiro RJ ,Brazil

关键词: Huygens' principle;    Dirac operators;    electromagnetic fields;    Hadamard's problem;    princípio de Huygens;    operadores de Dirac;    campos eletromagnéticos;    problema de Hadamard;   

DOI  :  10.1590/S0001-37652001000400002

来源: SciELO

【 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.

【 授权许可】

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