Savytskyy N, Kohler A, Bauch S, Blümel R, Sirko L
Institute of Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warszawa, Poland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3 Pt 2):036211. doi: 10.1103/PhysRevE.64.036211. Epub 2001 Aug 24.
Parameter-dependent statistical properties of the spectra of ray-splitting billiards are studied experimentally and theoretically. The autocorrelation functions c(x) and c(omega,x) of level velocities as well as the generalized conductance C(0) are calculated for two different classically chaotic ray-splitting billiards. Experimentally a modified Sinai ray-splitting billiard is studied consisting of a thin microwave rectangular cavity with two quarter-circle-shaped Teflon inserts. The length of the cavity serves as the experimentally adjustable parameter. For the theoretical estimates of the parametric correlations we compute the quantum spectrum of a scaling triangular ray-splitting billiard. Our experimental and numerical results are compared with each other and with the predictions of random matrix theory.
对射线分裂台球光谱的参数相关统计特性进行了实验和理论研究。针对两种不同的经典混沌射线分裂台球，计算了能级速度的自相关函数(c(x))和(c(\omega,x))以及广义电导(C(0))。实验上研究了一种改进的 Sinai 射线分裂台球，它由一个带有两个四分之一圆形状聚四氟乙烯插入物的薄微波矩形腔组成。腔的长度作为实验可调参数。为了对参数相关性进行理论估计，我们计算了缩放三角形射线分裂台球的量子光谱。将我们的实验和数值结果相互比较，并与随机矩阵理论的预测进行比较。
