The averaged dynamics of the hydrogen atom in crossed electric and magnetic fields as a perturbed Kepler problem

Details The averaged dynamics of the hydrogen atom in crossed electric and magnetic fields as a perturbed Kepler problem The averaged dynamics of the hydrogen atom in crossed electric and magnetic fields as a perturbed Kepler problem

2000-07-13

arxiv.org/abs/nlin/0007018v1

Found. Phys. 31:283-326 (2001)

Nonlinear Sciences

Chaotic Dynamics

34 pages, 13 figures

Scientific paper

10.1023/A:1017542620404

We treat the classical dynamics of the hydrogen atom in perpendicular electric and magnetic fields as a celestial mechanics problem. By expressing the Hamiltonian in appropriate action-angle variables, we separate the different time scales of the motion. The method of averaging then allows us to reduce the system to two degrees of freedom, and to classify the most important periodic orbits.

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