Magner, Alexander G. and Arita, Ken-ichiro and Fedotkin, Sergey N. (2006) Semiclassical approach for bifurcations in a smooth finite-depth potential. PROGRESS OF THEORETICAL PHYSICS, 115 (3). pp. 523-546. ISSN 0033-068X,
Full text not available from this repository.Abstract
The analytical trace formula for a dense cascade of bifurcations was derived using the improved stationary phase method based on extensions of the semiclassical Gutzwiller path integral approach. For the integrable version of the famous Henon-Heiles Hamiltonian, our analytical trace formula solves all bifurcation problems, in particular, in the harmonic oscillator limit and the potential barrier limit. We obtain nice agreement with quantum results for gross to finer shell structures in level densities and for the shell structure energies, even near the potential barrier where there is a rather dense sequence of bifurcations.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NEAR-INTEGRABLE SYSTEMS; PERIODIC ORBIT THEORY; TRACE FORMULAS; SYMMETRY-BREAKING; SHELL CORRECTIONS; DEFORMED POTENTIALS; BOUND SPECTRUM; RESONANCES; BILLIARD; NUCLEI; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Feb 2021 08:13 |
| Last Modified: | 22 Feb 2021 08:13 |
| URI: | https://pred.uni-regensburg.de/id/eprint/34917 |
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