Closed almost-periodic orbits in semiclassical quantization of generic polygons

Debabrata Biswas

doi:10.1103/physreve.61.5129

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arXiv · chao-dyn/9909010

Closed almost-periodic orbits in semiclassical quantization of generic polygons

Debabrata Biswas

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Abstract

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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Debabrata Biswas. 2000-02-17. Closed almost-periodic orbits in semiclassical quantization of generic polygons. https://doi.org/10.1103/physreve.61.5129

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