Can a local repulsive potential trap an electron?

Details Can a local repulsive potential trap an electron? Can a local repulsive potential trap an electron?

1996-05-01

arxiv.org/abs/chao-dyn/9604018v1

Phys. Rev. Letters 77:2149-2153 (1996)

Physics

Condensed Matter

4 pages RevTeX, 4 ps figures, submitted to Phys. Rev. Letters

Scientific paper

10.1103/PhysRevLett.77.2149

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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