1999/06/09 by Wei‐Mou Zheng, Wei-Mou Zheng · 1 citation
Mathematics · Physics and Astronomy · #Asymptotic expansion #Curvature #Geometry #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematical physics #Mathematics #Nuclear physics research studies #Orbit (dynamics) #Periodic orbits #Philosophy #Physics #Pure mathematics #Quantum chaos and dynamical systems #Zero (linguistics) #quant-ph
paper · pdf · doi:10.1103/physreve.60.2845
published as Phys.Rev.E60:2845-2850,1999 · 8 pages, 2 figures
arxiv created 1999/06/09 · openalex publication_date 1999/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.