Bartsch_PhysRevA.67.063411.pdf (217.61 kB)
Semiclassical quantization of the hydrogen atom in crossed electric and magnetic fields
journal contribution
posted on 2019-05-21, 13:25 authored by Thomas BartschThomas Bartsch, Jorg Main, Gunter WunnerThe S-matrix theory formulation of closed-orbit theory recently proposed by Granger and Greene is extended to atoms in crossed electric and magnetic fields. We present a semiclassical quantization of the hydrogen atom in crossed fields, which succeeds in resolving individual lines in the spectrum, but is restricted to the strongest lines of each n manifold. By means of a detailed semiclassical analysis of the quantum spectrum, we demonstrate that it is the abundance of bifurcations of closed orbits that precludes the resolution of finer details. They necessitate the inclusion of uniform semiclassical approximations into the quantization process. Uniform approximations for the generic types of closed-orbit bifurcations are derived, and a general method for including them in a high-resolution semiclassical quantization is devised.
History
School
- Science
Department
- Mathematical Sciences
Published in
Phys. Rev. AVolume
67Pages
. 063411 - ?Citation
BARTSCH, T., MAIN, J. and WUNNER, G., 2003. Semiclassical quantization of the hydrogen atom in crossed electric and magnetic fields. Physical Review A , 67: 063411.Publisher
© The American Physical SocietyVersion
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2003Notes
This paper was accepted for publication in the journal Physical Review A, and the definitive published version is available at http://doi.org/10.1103/PhysRevA.67.063411ISSN
1050-2947eISSN
1094-1622Publisher version
Language
- en