Semiclassical quantization with bifurcating orbits

Thomas Bartsch, Jörg Main, and Günter Wunner
Phys. Rev. A 66, 033404 – Published 23 September 2002
PDFExport Citation

Abstract

Bifurcations 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 photoabsorption 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 formulas as well as the closed-orbit theory and offers a general technique for the semiclassical quantization of arbitrary systems.

  • Received 15 March 2002

DOI:https://doi.org/10.1103/PhysRevA.66.033404

©2002 American Physical Society

Authors & Affiliations

Thomas Bartsch, Jörg Main, and Günter Wunner

  • Institut für Theoretische Physik 1, Universität Stuttgart, D-70550 Stuttgart, Germany

References (Subscription Required)

Click to Expand
Issue

Vol. 66, Iss. 3 — September 2002

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×