Can a local repulsive potential trap an electron?
chao-dyn
2010-12-09 v1 凝聚态物理
混沌动力学
摘要
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.
引用
@article{arxiv.chao-dyn/9604018,
title = {Can a local repulsive potential trap an electron?},
author = {N. Berglund and Alex Hansen and E. H. Hauge and J. Piasecki},
journal= {arXiv preprint arXiv:chao-dyn/9604018},
year = {2010}
}
备注
4 pages RevTeX, 4 ps figures, submitted to Phys. Rev. Letters