Periodic orbit theory and spectral rigidity in pseudointegrable systems
Periodic orbit theory and spectral rigidity in pseudointegrable systems
We calculate numerically the periodic orbits of pseudointegrable systems of low genus numbers g that arise from rectangular systems with one or two salient corners. From the periodic orbits, we calculate the spectral rigidity Delta3(L) using semiclassical quantum mechanics with L reaching up to quite large values. We find that …