Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields

Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields

We consider the hydrogen atom in crossed electric and magnetic fields. We prove that near the Stark and Zeeman limits the system goes through two qualitatively different Hamiltonian Hopf bifurcations. We explain in detail the geometry of the bifurcations.

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Veröffentlicht in:Physica. D 2004-07, Vol.194 (3), p.250-274
Hauptverfasser: Efstathiou, K., Cushman, R.H., Sadovskiı́, D.A.
Format: Artikel
Sprache:eng
Schlagworte:
Crossed electric and magnetic field
Exact sciences and technology
Hamiltonian Hopf bifurcation
Mathematical Physics
Monodromy
Physics
Zeeman and Stark limit
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Beschreibung
Zusammenfassung:We consider the hydrogen atom in crossed electric and magnetic fields. We prove that near the Stark and Zeeman limits the system goes through two qualitatively different Hamiltonian Hopf bifurcations. We explain in detail the geometry of the bifurcations.
ISSN:0167-2789
1872-8022
DOI:10.1016/j.physd.2004.03.003