Semiclassical Quantization and Periodic Orbits of Dispersing Billiards
Semiclassical Quantization and Periodic Orbits of Dispersing Billiards
Gutzwiller's trace formula, the Riemann-Siegel lookalike formula, and Novel quantization are applied to the dispersing billiards. All three of these give remarkable agreement with quantum results. The statistical properties of periodic orbits are also found to be universal in strongly chaotic systems.