Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1999-11-02
Nonlinear Sciences
Chaotic Dynamics
4 pages, 3 figures
Scientific paper
10.1103/PhysRevE.61.6444
We develop a semiclassical theory for the spectral rigidity of non-hydrogenic Rydberg atoms in electric fields and evaluate the significant deviations from the well-known Poissonian behaviour in the hydrogenic case. The resulting formula is shown to be in excellent agreement with the exact quantal result. We also investigate diamagnetic atoms; we find that, in contrast to the classically integrable atoms, diffraction has a small effect on the spectral rigidity in the classically chaotic atom. We show our predictions can also be of use in the mixed phase space regime.
Monteiro Tania S.
Walker Paul N.
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