Brack, Matthias and Roccia, Jerome (2009) Closed orbits and spatial density oscillations in the circular billiard. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 42 (35): 355210. ISSN 1751-8113, 1751-8121
Full text not available from this repository.Abstract
We present a case study for the semiclassical calculation of the oscillations in the particle and kinetic-energy densities for the two-dimensional circular billiard. For this system, we can give a complete classification of all closed periodic and non-periodic orbits. We discuss their bifurcations under variation of the starting point r and derive analytical expressions for their properties such as actions, stability determinants, momentum mismatches and Morse indices. We present semiclassical calculations of the spatial density oscillations using a recently developed closed-orbit theory (Roccia and Brack 2008 Phys. Rev. Lett. 100 200408), employing standard uniform approximations from perturbation and bifurcation theory, and test the convergence of the closed-orbit sum.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SEMICLASSICAL TRACE FORMULAS; PERIODIC-ORBITS; UNIFORM APPROXIMATION; CLASSICAL MECHANICS; QUANTUM; BIFURCATIONS; SYSTEMS; SYMMETRY; POINTS; MODEL; |
| 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: | 07 Sep 2020 08:30 |
| Last Modified: | 07 Sep 2020 08:30 |
| URI: | https://pred.uni-regensburg.de/id/eprint/28418 |
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