Uniform approximation for diffractive contributions to the trace formula in billiard systems
Martin Sieber 1, 2, Nicolas Pavloff 1, Charles Schmit 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 55 (1997) 2279-2299 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. […]