Level spacing distribution of pseudointegrable billiard

Details Level spacing distribution of pseudointegrable billiard Level spacing distribution of pseudointegrable billiard

1995-12-29

arxiv.org/abs/chao-dyn/9512008v1

Phys.Rev.E47:3822,1993

Nonlinear Sciences

Chaotic Dynamics

11 pages, REVTeX file, 3 PostScript Figures

Scientific paper

10.1103/PhysRevE.47.R3822

In this paper, we examine the level spacing distribution $P(S)$ of the rectangular billiard with a single point-like scatterer, which is known as pseudointegrable. It is shown that the observed $P(S)$ is a new type, which is quite different from the previous conclusion. Even in the strong coupling limit, the Poisson-like behavior rather than Wigner-like is seen for $S>1$, although the level repulsion still remains in the small $S$ region. The difference from the previous works is analyzed in detail.

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