REGULAR AND STOCHASTIC MOTION OF THE ELECTRON IN THE HYDROGEN-ATOM INA MAGNETIC-FIELD

Authors
VAINSHTEIN DL
Citation
Dl. Vainshtein, REGULAR AND STOCHASTIC MOTION OF THE ELECTRON IN THE HYDROGEN-ATOM INA MAGNETIC-FIELD, Physica scripta. T, 50(5), 1994, pp. 501-506
Citations number
13
Categorie Soggetti
Physics
Journal title
Physica scripta. T → ACNP
ISSN journal
02811847
Volume
50
Issue
5
Year of publication
1994
Pages
501 - 506
Database
ISI
SICI code
0281-1847(1994)50:5<501:RASMOT>2.0.ZU;2-E
Abstract
The influence of the term is-proportional-to B2 on the electron in the hydrogen atom in a weak uniform magnetic field is investigated. The s eparation of fast and slow motion is carried out and the analytical so lution of the averaged problem is constructed. The equations of fixed trajectories for arbitrary L(z) are obtained. The influence of the fas t phase term in the Hamiltonian on the stability of these trajectories is discussed. The origin of the stochastic layer is discussed and the formulae for its width is derived.