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Nonlinear Sciences > Chaotic Dynamics

arXiv:nlin/0307038 (nlin)
[Submitted on 22 Jul 2003]

Title:A realistic example of chaotic tunneling: The hydrogen atom in parallel static electric and magnetic fields

Authors:Dominique Delande, Jakub Zakrzewski
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Abstract: Statistics of tunneling rates in the presence of chaotic classical dynamics is discussed on a realistic example: a hydrogen atom placed in parallel uniform static electric and magnetic fields, where tunneling is followed by ionization along the fields direction. Depending on the magnetic quantum number, one may observe either a standard Porter-Thomas distribution of tunneling rates or, for strong scarring by a periodic orbit parallel to the external fields, strong deviations from it. For the latter case, a simple model based on random matrix theory gives the correct distribution.
Comments: Submitted to Phys. Rev. A
Subjects: Chaotic Dynamics (nlin.CD)
Cite as: arXiv:nlin/0307038 [nlin.CD]
  (or arXiv:nlin/0307038v1 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.nlin/0307038
Related DOI: https://doi.org/10.1103/PhysRevA.68.062110

Submission history

From: Dominique Delande [view email] [via CCSD proxy]
[v1] Tue, 22 Jul 2003 11:30:21 UTC (281 KB)
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