Kaidel, J. and Winkler, P. and Brack, Matthias (2004) Periodic orbit theory for the Henon-Heiles system in the continuum region. PHYSICAL REVIEW E, 70 (6): 066208. ISSN 2470-0045, 2470-0053
Full text not available from this repository.Abstract
We investigate the resonance spectrum of the Henon-Heiles potential up to twice the barrier energy. The quantum spectrum is obtained by the method of complex coordinate rotation. We use periodic orbit theory to approximate the oscillating part of the resonance spectrum semiclassically and Strutinsky smoothing to obtain its smooth part. Although the system in this energy range is almost chaotic, it still contains stable periodic orbits. Using Gutzwiller's trace formula, complemented by a uniform approximation for a codimension-two bifurcation scenario, we are able to reproduce the coarse-grained quantum-mechanical density of states very accurately, including only a few stable and unstable orbits.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CLOSED CLASSICAL ORBITS; MAGNETIC-FIELD; DILATATION TRANSFORMATIONS; UNIFORM APPROXIMATION; HAMILTONIAN-SYSTEMS; QUANTUM SPECTRA; BIFURCATIONS; POTENTIALS; RESONANCES; SCATTERING; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 21 Jun 2021 12:52 |
| Last Modified: | 21 Jun 2021 12:52 |
| URI: | https://pred.uni-regensburg.de/id/eprint/36933 |
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