Closed orbits and their bifurcations in the crossed-fields hydrogen atom
Chaotic Dynamics
2009-11-07 v1 Atomic Physics
Abstract
A systematic study of closed classical orbits of the hydrogen atom in crossed electric and magnetic fields is presented. We develop a local bifurcation theory for closed orbits which is analogous to the well-known bifurcation theory for periodic orbits and allows identifying the generic closed-orbit bifurcations of codimension one. Several bifurcation scenarios are described in detail. They are shown to have as their constituents the generic codimension-one bifurcations, which combine into a rich variety of complicated scenarios. We propose heuristic criteria for a classification of closed orbits that can serve to systematize the complex set of orbits.
Cite
@article{arxiv.nlin/0212016,
title = {Closed orbits and their bifurcations in the crossed-fields hydrogen atom},
author = {T. Bartsch and J. Main and G. Wunner},
journal= {arXiv preprint arXiv:nlin/0212016},
year = {2009}
}