1997/10/31 by Martin Sieber
Mathematics · Physics and Astronomy · #Numerical methods for differential equations #Quantum chaos and dynamical systems #Scientific Research and Discoveries #chao-dyn #nlin.CD
paper · pdf · doi:10.1088/0951-7715/11/6/010
LaTeX, 19 pages
arxiv created 1997/10/31 · openalex publication_date 1998/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We derive semiclassical contributions of periodic orbits from a boundary integral equation for three-dimensional billiard systems. We use an iterative method that keeps track of the composition of the stability matrix and the Maslov index as an orbit is traversed. Results are given for isolated periodic orbits and rotationally invariant families of periodic orbits in axially symmetric billiard systems. A practical method for determining the stability matrix and the Maslov index is described.