SMOOTHED DENSITY-OF-STATES FOR PROBLEMS WITH RAY SPLITTING

Ray splitting is the phenomenon whereby a ray incident on a boundary s plits into more than one ray traveling away from the boundary. Motivat ed by the recent application of ideas of quantum chaos to cases with r ay splitting, we present an analysis of the smoothed density of states for two-dimensional billiardlike systems with ray splitting. Using a simple heuristic technique, we obtain a contribution (analogous to the usual perimeter contribution) that is proportional to the length of t he ray splitting boundary. The result is expressed in a general form, allowing application to a variety of physical situations. A comparison is also made of the analytical result with numerical data from a part icular example.