arXiv physics/06100132006-10-02physics.atom-phnlin.CD

Hydrogen atom in crossed electric and magnetic fields: Phase space topology and torus quantization via periodic orbits

Stephan Gekle, Jörg Main, Thomas Bartsch, T. Uzer

DOI：: 10.1103/PhysRevA.75.023406

英文摘要：

A hierarchical ordering is demonstrated for the periodic orbits in a strongly coupled multidimensional Hamiltonian system, namely the hydrogen atom in crossed electric and magnetic fields. It mirrors the hierarchy of broken resonant tori and thereby allows one to characterize the periodic orbits by a set of winding numbers. With this knowledge, we construct the action variables as functions of the frequency ratios and carry out a semiclassical torus quantization. The semiclassical energy levels thus obtained agree well with exact quantum calculations.

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