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

preprint2015arXivOpen access

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 VV and AA. We show dynamical localization in the regime when lim⁡r→∞∣V∣/∣A∣<1\displaystyle\lim_{r\to\infty}|V|/|A |<1, where dense point spectrum occurs.

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