Nonperiodic Orbit Sums in Weyl's Expansion for Billiards

Details Nonperiodic Orbit Sums in Weyl's Expansion for Billiards Nonperiodic Orbit Sums in Weyl's Expansion for Billiards

1999-06-09

arxiv.org/abs/quant-ph/9906026v1

Phys.Rev.E60:2845-2850,1999

Physics

Quantum Physics

8 pages, 2 figures

Scientific paper

10.1103/PhysRevE.60.2845

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.

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