ON THE ONE-DIMENSIONAL HELIUM ATOM

Citation
A. Lopezcastillo et al., ON THE ONE-DIMENSIONAL HELIUM ATOM, Journal of physics. B, Atomic molecular and optical physics, 29(2), 1996, pp. 197-206
Citations number
7
Categorie Soggetti
Physics, Atomic, Molecular & Chemical",Optics
ISSN journal
09534075
Volume
29
Issue
2
Year of publication
1996
Pages
197 - 206
Database
ISI
SICI code
0953-4075(1996)29:2<197:OTOHA>2.0.ZU;2-8
Abstract
A careful discussion of the interaction of the inner electron with the nucleus of the helium atom allows for the reduction to a one-dimensio nal Hamiltonian describing the frozen planetary atom configuration. Th is is obtained by cancelling the angular momentum of each electron, ev en though it is only their sum which is guaranteed to be constant. The true oscillatory nature of the angular momenta in the full two-dimens ional Hamiltonian can be included in a time-periodic model that correc tly accounts for the finite lifetime of the frozen planetary atom. Thi s system can be Further simplified by averaging over the motion of the inner electron so as to define an oscillatory Hamiltonian with a sing le degree of freedom.