Hermitian Operators Conjugate to Two-Mode Number-Difference Operator Studied in Entangled State Representation

In similar to the derivation of phase angle operator conjugate to the number operator by Arroyo Carrasco-Moya Cessay we deduce the Hermitian phase operators that are conjugate to the two-mode number-difference operator and the three-mode number combination operator. It is shown that these operators are on the same footing in the entangled state representation as the one of Turski in the coherent state representation.     

边界积分方程法求解目标的声散射T矩阵

提出了计算任意表面形状刚性边界目标散射的基于边界积分方程的T矩阵方法(TMM-BIE).利用Helmholtz积分方程法(HIEM)计算目标表面声场,替代扩展边界法(EBCM)计算中对目标表面声场的近似处理,解决了扩展边界法不能计算任意形状目标的散射T矩阵问题.文中计算了刚性边界的球目标、有限长圆柱目标以及非对称的三维散射体-猫眼(cat's-eye)模型的散射指向性和T矩阵.通过与解析解和HIEM结果比较,证明该方法的有效性.     

Effect of Nano-Carbon Addition on Angle Dependence of Polystyrene Colloidal Crystal Film

Russian Journal of Physical Chemistry A - Low angle dependence single green polystyrene colloidal crystal films were prepared by vertical deposition method using polystyrene microspheres with size...     

Facile Synthesis of Bi2MoO6 Nanosheets@Nitrogen and Sulfur Codoped Graphene Composites for Sodium-ion Batteries

Recently,sodium-ion batteries gradually become the promising alternative to lithium-ion batteries because of cost considerations.In this work,a kind of Bi2MoO6 nanosheets@N,S codoped graphene composite is designed and fabricated for sodium storage applications.Detailed characterizations are employed to investigate its morphology,structure and chemical compositions.When evaluated as an anode material for sodium-ion batteries,the as-prepared composite is able to display a specific capacity of 254 mA·h/g after 50 cycles at a current density of 0.2 A/g,and 186 mA·h/g at 1.6 A/g during the rate capability test.As a result,the further morphology and structure optimization is still required for high performance sodium-ion batteries.     

浅谈P4的生长

P_4(白磷的分子式)及其衍生物的结构是化学竞赛的热点之一。本文简介了P_4的生长,对近年与本知识相关的几道竞赛题进行了解析,并提出了几点教学建议。     

用于光谱解混的正交向量投影算法

光谱解混是高光谱技术中的关键部分,对地物成分的定量分析至关重要。线性光谱解混方法在计算端元丰度时,大多需要涉及矩阵求逆或方阵行列式的计算,导致软件实现的计算复杂度高,且硬件实现困难。同时,当端元数量增加时,算法的计算量也会随之呈指数级快速增长。论文基于传统的正交子空间投影方法,利用正交原理,提出了一种新的光谱解混方法——正交向量投影。该方法首先利用Gram-Schmidt过程计算每个端元的最终正交向量分量,并将其作为代表端元的投影向量。然后对于任意的待解混光谱向量,直接将其投影到该正交向量上。最后,计算得到投影分量的长度与正交向量的长度比,即为该正交向量所代表端元的无约束丰度。该过程避免了正交子空间投影和最小方差方法中计算复杂、实现困难的矩阵求逆运算,更便于并行计算的设计和硬件实现。通过理论的推导分析,证明了该算法与正交子空间投影和最小方差方法是完全一致的。另外,由于算法避免了矩阵相乘和求逆运算,简化了解混过程,通过对不同算法复杂度的具体分析,也证明该算法相对其他算法可以对端元数量降低一个量级。最后,在模拟数据和实际图像上分别进行实验测试,结果的分析和比较,也说明了算法的有效性。     

林业院校数学教学中存在的问题与思考

分析了现行林业院校数学教学中存在的主要问题 ,认为合理地设置数学课程和学时数是保证教学质量的前提 ,开设数学实验课和建立数学实践教学基地是培养学生应用数学能力的主要手段 .加强师资队伍建设、开展教研活动和学术交流及采用多媒体辅助教学能促进教学水平的提高 .     

Analysis on Patterns of Globally Coupled Phase Oscillators with Attractive and Repulsive Interactions

The Hong-Strogatz (HS) model of globally coupled phase oscillators with attractive and repulsive interactions reflects the fact that each individual (oscillator) has its own attitude (attractive or repulsive) to the same environment (mean field). Previous studies on HS model focused mainly on the stable states on Ott-Antonsen (OA) manifold. In this paper, the eigenvalues of the Jacobi matrix of each fixed point in HS model are explicitly derived, with the aim to understand the local dynamics around each fixed point. Phase transitions are described according to relative population and coupling strength. Besides, the dynamics off OA manifold is studied.     

非自持和非麦氏分布情况下托卡马克堆芯等离子体功率平衡

本文给出一组托卡马克堆芯等离子体功率平衡方程,它描述了在非自持和非麦氏分布情况下等离子体功率平衡的问题,计算结果表明。在现实可行的聚变堆工程和相应的等离子体参数情况下,堆芯中每秒可产生聚变中子PN大于10~19。