Closed almost-periodic orbits in semiclassical quantization of generic polygons

Details Closed almost-periodic orbits in semiclassical quantization of generic polygons Closed almost-periodic orbits in semiclassical quantization of generic polygons

1999-09-07

arxiv.org/abs/chao-dyn/9909010v3

Phys. Rev. E 61 (2000) 5129

Nonlinear Sciences

Chaotic Dynamics

Figure added, Phys. Rev. E, in press

Scientific paper

10.1103/PhysRevE.61.5129

Periodic orbits are the central ingredients of modern semiclassical theories and corrections to these are generally non-classical 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.

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