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

Barbaroux, Jean-Marie; Mehringer, Josef; Stockmeyer, Edgardo and Taarabt, Amal (2016): Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentials. In: Journal of Differential Equations, Vol. 260, No. 7: pp. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0022-0396
• Language: English