Can a local repulsive potential trap an electron?

Creators: Berglund, Nils; Hansen, Alex; Hauge, Eivind H.; Piasecki, Jaroslav

Others:: Institut de Physique Théorique (IPT) ; Ecole Polytechnique Fédérale de Lausanne (EPFL); Institut Non Linéaire de Nice Sophia-Antipolis (INLN) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS); International Center for Condensed Matter Physics Brasilia ; Universidade de Brasilia [Brasília] (UnB); Department of Physics [Trondheim] (Physics NTNU) ; Norwegian University of Science and Technology [Trondheim] (NTNU) ; Norwegian University of Science and Technology (NTNU)-Norwegian University of Science and Technology (NTNU); Institute of Theoretical Physics [Warsaw] ; Faculty of Physics [Warsaw] (FUW) ; University of Warsaw (UW)-University of Warsaw (UW)

Description

We study the classical dynamics of a charged particle in two dimensions, under the influence of a perpendicular magnetic and an in-plane electric field. We prove the surprising fact that there is a finite region in phase space that corresponds to the otherwise drifting particle being trapped by a local repulsive potential. Our result is a direct consequence of KAM-theory and, in particular, of Moser's theorem. We illustrate it by numerical phase portraits and by an analytic approximation to invariant curves.

Abstract

4 pages RevTeX, 4 ps figures

Can a local repulsive potential trap an electron?

Description

Abstract

Additional details