Arita, Ken-ichiro and Brack, Matthias (2008) Anomalous shell effect in the transition from a circular to a triangular billiard. PHYSICAL REVIEW E, 77 (5): 056211. ISSN 1539-3755,
Full text not available from this repository.Abstract
We apply periodic orbit theory to a two-dimensional nonintegrable billiard system whose boundary is varied smoothly from a circular to an equilateral triangular shape. Although the classical dynamics becomes chaotic with increasing triangular deformation, it exhibits an astonishingly pronounced shell effect on its way through the shape transition. A semiclassical analysis reveals that this shell effect emerges from a codimension-2 bifurcation of the triangular periodic orbit. Gutzwiller's semiclassical trace formula, using a global uniform approximation for the bifurcation of the triangular orbit and including the contributions of the other isolated orbits, describes very well the coarse-grained quantum-mechanical level density of this system. We also discuss the role of discrete symmetry for the large shell effect obtained here.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SEMICLASSICAL TRACE FORMULAS; PERIODIC ORBIT THEORY; UNIFORM APPROXIMATION; SPHEROIDAL CAVITY; SYMMETRY-BREAKING; DEFORMED-NUCLEI; BIFURCATIONS; QUANTIZATION; MECHANICS; SPECTRUM; |
| 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: | 04 Nov 2020 06:36 |
| Last Modified: | 04 Nov 2020 06:36 |
| URI: | https://pred.uni-regensburg.de/id/eprint/30989 |
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