Abstract
Periodic orbits in a dispersing billiard system consisting of three circular arcs are studied numerically by using a partial coding rule together with an efficient method for enumerating periodic orbits on the real billiard plane. By examining several statistical measures, it is shown that the length spectrum and the stability exponents are highly uncorrelated. The validity of the semiclassical trace formula is also tested, and a remarkable agreement of the semiclassical and quantum density of states is obtained at least for about the lower 15 levels.
| Original language | English |
|---|---|
| Article number | 019 |
| Pages (from-to) | 4595-4611 |
| Number of pages | 17 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 25 |
| Issue number | 17 |
| DOIs | |
| Publication status | Published - 1992 Dec 1 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)