Preprint A98/2001
On Huygens' Principle for Dirac Operators Associated to Electromagnetic Fields
Fabio Chalub
Keywords: Huygens' Principle | Dirac Operators | Electromagnetic Fields | Hadamard's Problem
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~\ref{eletromag}) 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.