Periodic Orbit Quantization of Mixed Regular Chaotic Systems

Jörg Main and Günter Wunner
Phys. Rev. Lett. 82, 3038 – Published 12 April 1999
PDFExport Citation

Abstract

A general technique for the periodic orbit quantization of systems with near-integrable to mixed regular chaotic dynamics is introduced. A small set of periodic orbits is sufficient for the construction of the semiclassical recurrence function up to, in principle, infinite length. As in our recent work the recurrence signal is inverted by means of a high resolution spectral analyzer (harmonic inversion) to obtain the semiclassical eigenenergies. The method is demonstrated for the hydrogen atom in a magnetic field. To our knowledge this is the first successful application of periodic orbit quantization in the deep mixed regular chaotic regime.

  • Received 7 August 1998

DOI:https://doi.org/10.1103/PhysRevLett.82.3038

©1999 American Physical Society

Authors & Affiliations

Jörg Main1 and Günter Wunner2

  • 1Institut für Theoretische Physik I, Ruhr-Universität Bochum, D-44780 Bochum, Germany
  • 2Institut für Theoretische Physik und Synergetik, Universität Stuttgart, D-70550 Stuttgart, Germany

References (Subscription Required)

Click to Expand
Issue

Vol. 82, Iss. 15 — 12 April 1999

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 Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×