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Semiclassical quantization with bifurcating orbits
journal contribution
posted on 2017-10-02, 10:33 authored by Thomas BartschThomas Bartsch, Jorg Main, Gunter WunnerBifurcations of classical orbits introduce divergences into semiclassical spectra which have to be smoothed with the help of uniform approximations. We develop a technique to extract individual energy levels from semiclassical spectra involving uniform approximations. As a prototype example,
the method is shown to yield excellent results for photo-absorption spectra for the hydrogen atom in an electric field in a spectral range where the abundance of bifurcations would render the standard closed-orbit formula without uniform approximations useless. Our method immediately applies to semiclassical trace formulae as well as closed-orbit theory and offers a general technique for the
semiclassical quantization of arbitrary systems.
History
School
- Science
Department
- Mathematical Sciences
Published in
Physical Review AVolume
66Issue
(3)Pages
033404 (1 - 4)Citation
BARTSCH, T., MAIN, J. and WUNNER, G., 2002. Semiclassical quantization with bifurcating orbits. Physical Review A, 66(3): 033404.Publisher
© The American Physical SocietyVersion
- AM (Accepted Manuscript)
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
2002Notes
This paper was accepted for publication in the journal Physical Review A and the definitive published version is available at https://doi.org/10.1103/PhysRevA.66.033404ISSN
1094-1622Publisher version
Language
- en