Barrier billiards are argued to have semi-Poisson spectral statistics, and their trace formula is derived from the transfer operator in the semiclassical limit.
R2(s) =P∞ n=0Pn(s) is the two-point corre- lation function which determines the probability that two levels are at distance s (with any numbers of levels inside)
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Semiclassical approximation for barrier billiards
Barrier billiards are argued to have semi-Poisson spectral statistics, and their trace formula is derived from the transfer operator in the semiclassical limit.