Can a Local Repulsive Potential Trap an Electron?
- 9 September 1996
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 77 (11) , 2149-2153
- https://doi.org/10.1103/physrevlett.77.2149
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.Keywords
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This publication has 3 references indexed in Scilit:
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