Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields

DOI10.1016/j.physd.2004.03.003zbMath1059.37069OpenAlexW2120426550MaRDI QIDQ1888125

Richard H. Cushman, Dmitrií A. Sadovskií, Konstantinos Efstathiou

Publication date: 22 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2004.03.003

zbMATH Keywords

Hamiltonian Hopf bifurcationMonodromyCrossed electric and magnetic fieldZeeman and Stark limit

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Atomic physics (81V45) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

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Cites Work

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• On global action-angle coordinates
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• Perturbation theory of Kepler motion based on spinor regularization.
• Canonical transformations depending on a small parameter
• Non-Hamiltonian monodromy

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