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

Nils Berglund and Turgay Uzer
Found. Phys. 31:283-326 (2001)

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.

Keywords and phrases: Rydberg atom, crossed fields, Stark effect, Zeeman effect, angle-action variables, Delaunay variables, averaging, Arnol'd diffusion

 

Journal Homepage Published article: 10.1023/A:1017542620404 MR1838909

PDF file (4096 Kb) hal-00130545 arXiv/nlin.CD/0007018