Statistics of off-diagonal entries of Wigner K -matrix for chaotic wave systems with absorption

Statistics of off-diagonal entries of Wigner K -matrix for chaotic wave systems with absorption
复制标题

具有吸收的混沌波系统维格纳 K 矩阵非对角项统计

DOI:
10.1088/1751-8121/ab73ab
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发表时间:
2020
期刊:
Mathematical and Theoretical
影响因子:
--
通讯作者:
Belga Fedeli S
Belga Fedeli S
中科院分区:
--
文献类型:
--
作者:
Belga Fedeli S

文献摘要

相似文献

使用随机矩阵理论的方法,我们推导出显式分布的真实的和虚部的非对角项的Wigner反应矩阵的波混沌散射系统中的时间反演不变性和没有,在存在一个任意的均匀吸收。而对于时间反演不变系统()的散射信道被假定为随机的和平均正交的,对于破碎的时间反演(),我们考虑的情况下,非平凡相关的信道矢量。
Using the random matrix theory approach we derive explicit distributions of the real and imaginary parts for off-diagonal entries of the Wigner reaction matrix for wave chaotic scattering in systems with and without time-reversal invariance, in the presence of an arbitrary uniform absorption. Whereas for time-reversal invariant system () the scattering channels are assumed to be random and orthogonal on average, for broken time-reversal () we consider the case of nontrivially correlated channel vectors.