毕奥-萨伐尔定律的教学研究

分析了毕奥-萨伐尔定律的引入方式，提出了以围绕学生提出课题、参与定律发现过程、提炼物理思想和物理方法为中心的培养学生创新思维与探究能力的教学方案．     

Fourier analysis on trapezoids with curved sides

It is well known that smooth periodic functions can be expanded into Fourier series and can be approximated by trigonometric polynomials. The purpose of this paper is to do Fourier analysis for smooth functions on planar domains. A planar domain can often be divided into some trapezoids with curved sides, so first we do the Fourier analysis for smooth functions on trapezoids with curved sides. We will show that any smooth function on a trapezoid with curved sides can be expanded into Fourier sine series with simple polynomial factors, and so it can be well approximated by a combination of sine polynomials and simple polynomials. Then we consider the Fourier analysis on the global domain. Finally, we extend these results to the three-dimensional case.     

相干态与压缩态迭加的量子特性

基于量子力学基本理论,构造了一个由相干态与单模压缩态构成的新迭加态:|φ>=N(|α> eiψ|β>g);详细讨论了其压缩效应和光子数反聚束效应,发现该迭加态呈现出多样的量子特性.在按类似奇偶相干态的方式迭加时,迭加态具有奇偶相干态和压缩奇偶相干态的某些特性.作为特例,当压缩因子为0时,可以得到奇偶相干态和相干态.     

一个基于随机函数族的新广播加密方案

通过构建一个随机甬数族,本方案可成功地为用户分配密钥,使合法用户以概率为1地获得解密,而用户的密钥存储仅为(l 1)个.在系统开始运行前,每一个用户从每一个密钥池获得一个密钥.对于退出用户,广播中心只需用他们所不拥有的其他(辅助)密钥加密会话密钥即可;而对于未退出用户,在一定程度上他们总可以找到一个密钥与广播中心在加密会话密钥时所使用的密钥相匹配.本方案较目前基于二叉树结构的广播加密方案(如SD)在密钥存储量上有显著的优势,同时在一定条件下可使传输成本最小.     

Experimental Demonstration of Efficient Coherent Combining of 19 Fiber Lasers By Adaptive Gain Coefficient SPGD Algorithm

Journal of Russian Laser Research - The fiber laser coherent combining system with tiled aperture structure is an effective method to obtain a high-brightness laser. To realize the high-efficiency...     

Some Measurement-Based Characterizations of Separability of Bipartite States

Importance of quantum entanglement has been demonstrated in various applications. Usually, separability of a bipartite state is defined by its algebraic structure, i.e. a convex combination of product states. But it seems to be hard to check separability (equivalently, entanglement) of a state from its algebraic structure. In this note, we give some characterizations of separability of bipartite states based on POVM measurements. For bipartite pure states, we prove the separability, Bell locality, unsteerability and classical correlation are the same. As a consequence, every entangled pure bipartite state is always Bell nonlocal, steerable and quantum correlated.

     

HL-2M 磁体系统安装中的定位与测量

为提高磁体系统安装精度,在 HL-2M 集成大厅建立 63 个基准点构成测量基准网,并利用激光跟 踪仪等高精度测量设备建立每个磁体的局部坐标系,测量特征点的局部坐标;基于测量基准网和公共测量点,采 用最佳拟合得到坐标转换矩阵,以此得到特征点在测量基准网的位置,指导磁体安装。完成安装后的中心柱同支 撑基础的同轴度为∅2.03mm;PF1~PF4 线圈安装标高偏差为±0.5mm,与中心柱的同轴度为∅2.60mm;PF5/6/7/8 线圈与中心柱的同轴度偏差小于∅3.00mm,标高偏差在[−1mm, 1mm]区间内。基于以上方法所得到的线圈安装精 度都满足设计需求。     

An isothermal strand displacement amplification strategy for nucleic acids using junction forming probes and colorimetric detection

The authors describe a method for DNA target recognition and signal amplification that is based on the target-induced formation of a three way junction. The subsequent assembly of two DNA probes releases the inhibitory strand and triggers a downstream strand displacement amplification. This causes the formation of a G-rich single sequence that binds to a hemin monomer with its peroxidase-mimicking properties. The resulting peroxidase (POx) activity is quantified by using H₂O₂ and TMB as the substrate. In the presence of an inhibitor, in contrast, the POx-like activity is strongly reduced. This forms the basis for a highly sensitive DNA assay. It has a 0.8 pM detection limit when operated at a wavelength of 450 nm and was applied to the isothermal determination of target DNA with high selectivity.

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Graphical abstract Schematic of the assay: Introduction of target results in the formation of a three way junction. The subsequent assembly of two probes releases the inhibitory strand and triggers a downstream strand displacement amplification, generating amount of G-rich single sequence which causes peroxidase-mimicking activity on binding to a hemin monomer.

     

A cationic water-soluble pillar[7]arene: Synthesis and its fluorescent host−guest complex in water

The first cationic water-soluble pillar[7]arene CWP7 was prepared. ¹H NMR, ¹³C NMR, and MALDI-TOF-MS were performed to provide converging evidences of the structure of obtained CWP7. Host–guest complexation between this novel pillar[7]arene-based host and sodium pyren-1-olate guest G was fully investigated in aqueous solution. Increased fluorescence intensity was observed during the inclusion complexation. Driven by the cooperativity of electrostatic interactions, π-stacking interactions and hydrophilic/hydrophobic interactions, the guest penetrated into the cavity of CWP7 to form a pseudorotaxane-type inclusion complex with relatively high binding affinity.