Journal Articles Foundations of Physics Year : 2001

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

Abstract

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.

Fichier principal
Vignette du fichier
0007018.pdf (3.74 Mo) Télécharger le fichier
Origin Files produced by the author(s)
Licence

Dates and versions

hal-00130545 , version 1 (06-10-2023)

Licence

Identifiers

Cite

Nils Berglund, Turgay Uzer. The averaged dynamics of the hydrogen atom in crossed electric and magnetic fields as a perturbed Kepler problem. Foundations of Physics, 2001, 31, pp.283-326. ⟨10.1023/A:1017542620404⟩. ⟨hal-00130545⟩
211 View
241 Download

Altmetric

Share

  • More