Nonlinear Phenomena in Complex Systems, 2007, Vol.10, No.2, pp.164-169

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2007, Vol.10, No.2, pp.164-169

Torus Construction and Quantization for the Hydrogen Atom in Crossed Electric and Magnetic Fields.
Stephan Gekle, Jörg Main, and Thomas Bartsch

Periodic orbits of the hydrogen atom in crossed electric and magnetic fields are shown to obey an organizing principle. This principle allows us to assign winding numbers to the periodic orbits and to quantitatively construct the action variables for broken tori in phase space. We carry out an EBK torus quantization at energies below and above the ionization saddle point.
Key words: periodic orbits, torus construction, EBK torus quantization, phase space topology

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