Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields

K. Efstathiou, R.H. Cushman and D.A. Sadovskií
Physica D, 194(3-4), pp. 250-274, 2004
DOI: 10.1016/j.physd.2004.03.003


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.