The Robnik billiard system is investigated both classically and quantum mechanically from integrable to almost chaotic system. There are remarkable correspondence between features of classical dynamics in topological structure of integrable regions, a...
The Robnik billiard system is investigated both classically and quantum mechanically from integrable to almost chaotic system. There are remarkable correspondence between features of classical dynamics in topological structure of integrable regions, and the statics of energy level spacing appears with a system parameter λ being varied. It is shown that the variance of the level spacing changes its topological structure in the Poincare surface of section.