Signature of chaos in a quantum pseudointegrable billiard

Publisher Website
Google Scholar
Abstract
We analyze the quantum level statistics of the zero-obstacle-size limit of the pseudointegrable billiard While the nearest-neighbor-spacing distribution approaches to the Poissonian shape in the semiclassical limit, it is shown to become the Wigner distribution in low-energy region. This fact is interpreted as a signature of the chaotic motion generated by the quantum uncertainty.