Ghost orbits in the diamagnetic hydrogen spectrum using harmonic inversion
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
The harmonic inversion method is applied in the case of the hydrogen atom in a magnetic field to extract classical information from the quantum photo-ionization cross-section. The study is made close to a saddle-node bifurcation for which the usual semi-classical formulas give diverging contributions. All quantities (actions, stabilities and Maslov indices) for real orbits above the bifurcation and for complex ghost orbits below the bifurcation, are found to be in excellent agreement with the modified semi-classical predictions based on a normal form approach.
Cite
@article{arxiv.chao-dyn/9907008,
title = {Ghost orbits in the diamagnetic hydrogen spectrum using harmonic inversion},
author = {Benoit Gremaud and Dominique Delande},
journal= {arXiv preprint arXiv:chao-dyn/9907008},
year = {2009}
}
Comments
Revtex, 24 pages with 8 figures, submitted to Phys. Rev. A