Nonperiodic Orbit Sums in Weyl's Expansion for Billiards

Abstract

Weyl's expansion for the asymptotic mode density of billiards consists of the area, length, curvature and corner terms. The area term has been associated with the so-called zero-length orbits. Here closed nonperiodic paths corresponding to the length and corner terms are constructed.

arXiv comment8 pages, 2 figures

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