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Can a local repulsive potential trap an electron?

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.

preprint1996arXivOpen access
N. BerglundAlex HansenE. H. HaugeJ. Piasecki
cond-matchao-dynnlin.CD
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Open access4 authors3 topics
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N. BerglundAlex HansenE. H. HaugeJ. Piasecki

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