1996/10/02 by Martin Sieber, Nicolas Pavloff, Charles Schmit · 2 citations
Physics and Astronomy · #chao-dyn #nlin.CD
paper · pdf · doi:10.1103/physreve.55.2279
LaTeX, 41 pages including 12 PostScript figures, submitted to Phys. Rev. E
arxiv created 1996/10/02 · arxiv updated 2009/11/30
We derive contributions to the trace formula for the spectral density accounting for the role of diffractive orbits in two-dimensional billiard systems with corners. This is achieved by using the exact Sommerfeld solution for the Green function of a wedge. We obtain a uniformly valid formula which interpolates between formerly separate approaches (the geometrical theory of diffraction and Gutzwiller's trace formula). It yields excellent numerical agreement with exact quantum results, also in cases where other methods fail.