多维耦合受迫量子谐振子的普遍解

运用广义线性量子变换的普遍理论求解多维耦合受迫量子谐振子，给出了系统演化算符的矩阵元、波函数、力学量期望值和配分函数的严格表达式. 关键词： 多维耦合受迫量子谐振子 演化算符矩阵元 配分函数     

Synchronizability of Highly Clustered Scale-Free Networks

We consider the effect of clustering coefficient on the synchronizability of coupled oscillators located on scale-free networks. The analytic result for the value of clustering coefficient aiming at a highly clustered scale-free network model, the Holme-Kim model is obtained, and the relationship between network synchronizability and clustering coefficient is reported. The simulation results strongly suggest that the more clustered the network, the poorer the synchronizability.     

Neural Signal Tuned by Random Long-range Connections in Coupled FitzHugh-Nagumo Neurons Systems

We investigate the effect of random long-range connections on signal propagation in an array of coupled FitzHugh- Nagumo （FHN） neurons. The neural network can be obtained by randomly adding a small fraction of shortcuts in an originally locally coupled one-dimensional chain. It is shown that when the first neuron is subjected to external stimuli, it fires and excites its connected neighbours, such that the neural signal may propagate along the chain favoured by the shortcuts. Moreover, there exists an optimal number of shortcuts which can lead to the most synchronous behaviour. In addition, how the region of the fraction of shortcuts varies with the coupling strength is also discussed. These results suggest that topological disorder in the neural network may play a vital role in helping information processing in living systems.     

激光光束管控中光瞳光轴自动准直技术的应用

针对复杂光机系统设计中光瞳光轴位置的传递问题,构建了光瞳光轴镜耦合控制的算法模型以及实施控制的解析公式。依据耦合控制流程,阐述了解析公式中各系数的标定过程及其方法。同时通过搭建的试验光路,验证了上述模型及解析公式的合理性。结合探测器靶面上解算出的光瞳光轴光斑中心,通过光瞳光轴耦合镜各自两电机联动控制,可单步内实现光瞳光轴的快速耦合。执行3次不同控制策略下的光瞳光轴耦合,可使光瞳耦合精度达到近场光斑的0.2%,光轴耦合精度达到3μrad。     

自旋轨道耦合引起的电偶极矩

文章介绍了由于自旋轨道耦合导致的电子的电偶极矩在自旋电子学理论中的基本意义。研究发现，该电偶极矩与自旋流张量的反对称部分直接相关，它不仅直接导致可观测的电磁学效应，而且与电子在电场受到的力以及力矩有关，从而为自旋的电子学操控提供了可能。     

六方相InGaN外延膜的显微Raman散射

用X射线衍射(XRD)技术和显微Raman散射方法对金属有机化学气相沉积(MOCVD)法生长的六方相In_xGa_1-xN薄膜样品进行了研究，观察到了相分离现象和LO声子-等离子耦合模(LPP⁺)，讨论了In_xGa_1-xN的A₁(LO)模被屏蔽的主要物理机制.同时，对Raman谱中E₂和A₁(TO)声子模进行了分析和讨论.在In_xGa_1-xN样品的低温Raman谱中还观察到单电子跃迁产生的Raman散射信号. 关键词： Raman散射 X射线衍射 相分离 应力 LO声子-等离子耦合     

人工色动力学对Wtb耦合的修正

考虑了一代人工色(OGTC)模型和topcolor援助的多标度人工色(TOPCMTC)模型中的规范玻色子对Wtb耦合的贡献. 发现对角ETC玻色子的交换对Wtb耦合没有直接贡献,运用LEP给出的R_b的数值,发现对于一定范围内的参数值来说,OGTC模型中的ETC规范玻色子交换和TOPCMTC模型中的ETC规范玻色子交换和colorn交换对CKM矩阵元V_tb的贡献都是相当大的,δV_tb可能被费米实验室Tevatron Run3探测到.     

第二类弱奇异积分方程的高精度Nystrom方法与外推

借助奇异函数的新型求积公式，建立了解第二类弱奇异积分方程的高精度Ｎｙｓｔｒｏｍ算法及渐近展开式。数值试验表明本文的算法较常用的投影法计算量大大减少，崦精度却很高，其外推法打丰了Ｆ．Ｃｈａｔｅｌｉｎ认为非光滑核积分方程的 解外推缺少理论依据的断定。     

电感耦合等离子体原子发射光谱法测定食醋中砷

通过选择电感耦合等离子体原子发射光谱仪的最佳工作条件 ,对山西的出口食醋样品经稀释后直接测定 ,分析结果满意。回收率在 99.0 %～ 10 0 .2 %之间 ,相对标准偏差≤ 2 .6%。与国标规定的方法相比 ,此法简便快速 ,砷的检出限为 0 .0 33mg·kg-1。     

Self-dual weak Hopf algebras

In this paper, we define the notion of self-dual graded weak Hopf algebra and self-dual semilattice graded weak Hopf algebra. We give characterization of finite-dimensional such algebras when they are in structually simple forms in the sense of E. L. Green and E. N. Morcos. We also give the definition of self-dual weak Hopf quiver and apply these types of quivers to classify the finite- dimensional self-dual semilattice graded weak Hopf algebras. Finally, we prove partially the conjecture given by N. Andruskiewitsch and H.-J. Schneider in the case of finite-dimensional pointed semilattice graded weak Hopf algebra H when grH is self-dual.