# Classification of perturbations of the hydrogen atom in small static electric and magnetic fields: resonance zone structure

ARGOMENTI: Convegni

SEMINARI DI FISICA MATEMATICA
"Classification of perturbations of the hydrogen atom in small static electric and magnetic fields: resonance zone structure"

Dmitrii Sadovskii (Universite' du Littoral, Dunkerque, France)

Martedi 6 novembre 2007, ore 14:00
Aula 1BC/50 (Torre Archimede)

-Abstract
We consider perturbations of the hydrogen atom by sufficiently small homogeneous static electric and magnetic fields of all possible mutual orientations. Normalising with regard to the Keplerian symmetry, we uncover resonances and conjecture that the parameter space of this family of dynamical systems is stratified into zones centred on the resonances. The 1:1 resonance corresponds to the orthogonal field limit, studied earlier by Cushman & Sadovskii in 2000. We describe the structure of the 1:1 zone, where the system may have monodromy of different kinds, and consider briefly the 1:2 zone. See the paper by K. Efstathiou, D.A. Sadovskii and B.I. Zhilinskii in Proc. R. Soc. A Vol. 463, 2007, pp.1771-1790.

Rif. int. F. Fasso