Closed almost-periodic orbits in semiclassical quantization of generic polygons
Abstract
Periodic orbits are the central ingredients of modern semiclassical theories and corrections to these are generally nonclassical in origin. We show here that, for the class of generic polygonal billiards, the corrections are predominantly classical in origin owing to the contributions from closed almost-periodic (CAP) orbit families. Furthermore, CAP orbit families outnumber periodic families but have comparable weights. They are hence indispensable for semiclassical quantization.
- Publication:
-
Physical Review E
- Pub Date:
- May 2000
- DOI:
- 10.1103/PhysRevE.61.5129
- arXiv:
- arXiv:chao-dyn/9909010
- Bibcode:
- 2000PhRvE..61.5129B
- Keywords:
-
- 05.45.Mt;
- 05.45.Ac;
- Quantum chaos;
- semiclassical methods;
- Low-dimensional chaos;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- Figure added, Phys. Rev. E, in press