The Averaged Dynamics of the Hydrogen Atom in Crossed Electric and Magnetic Fields as a Perturbed Kepler Problem

被引:0
|
作者
Nils Berglund
Turgay Uzer
机构
[1] Georgia Institute of Technology,School of Physics
来源
Foundations of Physics | 2001年 / 31卷
关键词
Hydrogen; Magnetic Field; Hydrogen Atom; Periodic Orbit; Angle Variable;
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摘要
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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页码:283 / 326
页数:43
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