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Nonlinear Sciences > Chaotic Dynamics

arXiv:nlin/0212016 (nlin)
[Submitted on 6 Dec 2002]

Title:Closed orbits and their bifurcations in the crossed-fields hydrogen atom

Authors:T. Bartsch, J. Main, G. Wunner
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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.
Subjects: Chaotic Dynamics (nlin.CD); Atomic Physics (physics.atom-ph)
Cite as: arXiv:nlin/0212016 [nlin.CD]
  (or arXiv:nlin/0212016v1 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.nlin/0212016
Journal reference: Phys. Rev. A 67, 063410 (2003)
Related DOI: https://doi.org/10.1103/PhysRevA.67.063410

Submission history

From: Thomas Bartsch [view email]
[v1] Fri, 6 Dec 2002 16:57:11 UTC (253 KB)
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