Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentials

Abstract

We consider two-dimensional massless Dirac operators in a radially symmetric electromagnetic field. In this case the fields may be described by one-dimensional electric and magnetic potentials $V$ and $A$. We show dynamical localization in the regime when $\displaystyle\lim_{r\to\infty}|V|/|A |<1$, where dense point spectrum occurs.