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Can a local repulsive potential trap an electron?

N. Berglund·Alex Hansen·E. H. Hauge·J. Piasecki
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Abstract

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.

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N. Berglund, Alex Hansen, E. H. Hauge, J. Piasecki. 1996-05-01. Can a local repulsive potential trap an electron?. https://doi.org/10.1103/physrevlett.77.2149

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