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

Jean-Marie Barbaroux (1, 2) , Josef Mehringer (3) , Edgardo Stockmeyer (3) , Amal Taarabt (3)

1 CPT - E8 Dynamique quantique et analyse spectrale
2 CPT - Centre de Physique Théorique - UMR 7332
3 UC - Pontificia Universidad Católica de Chile

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 dy-namical localization in the regime when lim r→∞ |V |/|A| < 1, where dense point spectrum occurs.

Domaines: Physique mathématique [math-ph]; Mathématiques [math]

Jean-Marie Barbaroux, Josef Mehringer, Edgardo Stockmeyer, Amal Taarabt. Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentials. Journal of Differential Equations, 2016, 260 (7), pp.5912-5925. ⟨10.1016/j.jde.2015.12.021⟩. ⟨hal-01253123⟩