Spectral properties of atoms in fields: A semiclassical analysis

We develop a semiclassical theory for the spectral rigidity of nonhydrogenic Rydberg atoms in electric fields, and evaluate the significant deviations from the well-known Poissonian behavior in the hydrogenic case. The resulting formula is shown to be in excellent agreement with the exact quantal re...

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Bibliographic Details
Published in:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2000-06, Vol.61 (6 Pt A), p.6444-6447, Article 6444
Main Authors: Walker, PN, Monteiro, TS
Format: Article
Language:English
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Summary:We develop a semiclassical theory for the spectral rigidity of nonhydrogenic Rydberg atoms in electric fields, and evaluate the significant deviations from the well-known Poissonian behavior 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 that our predictions can also be of use in the mixed phase space regime.
ISSN:1063-651X
1095-3787
DOI:10.1103/PhysRevE.61.6444