English

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

Mathematical Physics 2015-04-17 v1 math.MP

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 limrV/A<1\displaystyle\lim_{r\to\infty}|V|/|A |<1, where dense point spectrum occurs.

Keywords

Cite

@article{arxiv.1504.04077,
  title  = {Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentials},
  author = {Jean-Marie Barbaroux and Josef Mehringer and Edgardo Stockmeyer and Amal Taarabt},
  journal= {arXiv preprint arXiv:1504.04077},
  year   = {2015}
}
R2 v1 2026-06-22T09:16:53.288Z