Magner, Alexander G. and Arita, Ken-ichiro and Fedotkin, Sergey N. and Matsuyanagi, Kenichi (2002) Symmetry breaking and bifurcations in the periodic orbit theory. II - Spheroidal cavity. PROGRESS OF THEORETICAL PHYSICS, 108 (5). pp. 853-901. ISSN 0033-068X
Full text not available from this repository.Abstract
We derive a semiclassical trace formula for the level density of a three-dimensional spheroidal cavity. To overcome the divergences and discontinuities occurring at bifurcation points and in the spherical limit, the trace integrals over the action-angle variables are performed using an improved stationary phase method. The resulting semiclassical level density oscillations and shell energies are in good agreement with quantum-mechanical results. We find that the births of three-dimensional orbits through the bifurcations of planar orbits in the equatorial plane lead to considerable enhancement of the shell effect for superdeformed shapes.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SEMICLASSICAL TRACE FORMULAS; NEAR-INTEGRABLE SYSTEMS; SHELL STRUCTURE; UNIFORM APPROXIMATION; DEFORMED-NUCLEI; BOUND SPECTRUM; METAL-CLUSTERS; BILLIARD; RESONANCES; FISSION; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Aug 2021 14:47 |
| Last Modified: | 26 Aug 2021 14:47 |
| URI: | https://pred.uni-regensburg.de/id/eprint/39758 |
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