Periodic Orbits and Semiclassical Form Factor in Barrier Billiards

被引：0
作者：
O. Giraud
机构：
[1] Université Paul Sabatier,Laboratoire de Physique théorique, UMR 5152 du CNRS
来源：
Communications in Mathematical Physics | 2005年 / 260卷
关键词：
Neural Network; Statistical Physic; Complex System; Periodic Orbit; Nonlinear Dynamics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Using heuristic arguments based on the trace formulas, we analytically calculate the semiclassical two-point correlation form factor for a family of rectangular billiards with a barrier of height irrational with respect to the side of the billiard and located at any rational position p/q from the side. To do this, we first obtain the asymptotic density of lengths for each family of periodic orbits by a Siegel-Veech formula. The result [inline-graphic not available: see fulltext] obtained for these pseudo-integrable, non-Veech billiards is different but not far from the value of 1/2 expected for semi-Poisson statistics and from values of [inline-graphic not available: see fulltext] obtained previously in the case of Veech billiards.
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页码：183 / 201
页数：18
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