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

Barbaroux, Jean-Marie; Mehringer, Josef; Stockmeyer, Edgardo und Taarabt, Amal (2016): Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentials. In: Journal of Differential Equations, Bd. 260, Nr. 7: S. 5912-5925

Abstract

We consider two-dimensional massless Ditac 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 lim(r ->infinity) vertical bar V vertical bar/vertical bar A vertical bar < 1, where dense point spectrum occurs. (C) 2015 ELSEVIER. All rights reserved.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0022-0396
• Sprache: Englisch