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Level-spacing distribution of a singular billiard

Level-spacing distribution of a singular billiard

In this paper, we examine the level-spacing distribution P(S) of the rectangular billiard with a single pointlike scatterer, which is known as almost integrable. 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 …