In the foreground of contemporary physics, the role of chaos and order concomitantly present in physical systems is experimentally and theoretically well-grounded. The ubiquity of chaos and order in systems that include atomic nuclei and artificial atoms, among others, imposes the central question about the conceptual common element to all of them. Professor Mahir Saleh Hussein contributed to all these scenarios, investigating them predominantly in the light of the random matrix theory (RMT). All of these systems can support the universality of fundamental symmetries described by RMT and, therefore, mesoscopic systems composed of atomic confined aggregates can emulate scattering phenomena on smaller scales such as those of atomic nuclei. Mesoscopic systems can be controlled and create confinement phenomena that encompass the fundamental Wigner-Dyson symmetries as well as all others categorized by Cartan. In particular, among other results, the studies with Professor Mahir Saleh Hussein, presented in this investigation, demonstrated that the shot noise power can categorize not only the Wigner-Dyson classes, through the accumulation of spin in electronic reservoirs, but also the chiral classes, through scattering in graphene nanostructures.

在当代物理学的前景中，混沌和秩序在物理系统中同时存在的作用在实验上和理论上都是扎根的。在包括原子核和人造原子等系统中，普遍存在混乱和有序的问题，这给所有这些提出了关于概念性共同元素的中心问题。Mahir Saleh Hussein教授为所有这些情况做出了贡献，主要根据随机矩阵理论（RMT）进行了研究。所有这些系统都可以支持RMT描述的基本对称性的普遍性，因此，由原子约束聚集体构成的介观系统可以模拟较小规模的散射现象，例如原子核的散射现象。介观系统可以被控制并产生约束现象，该现象包括基本的Wigner-Dyson对称性以及Cartan分类的所有其他对称性。特别是，在这项研究中，与Mahir Saleh Hussein教授进行的研究尤其表明，散粒噪声功率不仅可以通过电子储能器中自旋的积累对Wigner-Dyson类进行分类，还可以对手性类进行分类通过散射石墨烯纳米结构。