Nearest-neighbor distribution for singular billiards

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1 Nearest - neighbor distribution for singular billiards

The exact computation of the nearest-neighbor spacing distribution P (s) is performed for a rectangular billiard with point-like scat-terer inside for periodic and Dirichlet boundary conditions and it is demonstrated that when s → ∞ this function decreases exponentially. Together with the results of Ref. [13] it proves that spectral statistics of such systems is of intermediate type characteriz...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2002

ISSN: 1063-651X,1095-3787

DOI: 10.1103/physreve.65.056214