Nest代数上的在零点广义可导映射

设A为B（H）的子代数,　是A到B（H）的线性映射,我们说　在0点广义可导（广义双边可导）,如果对任意的S,T∈A且ST=0（ST=0或TS=0）,有　（ST）=　（S）T+S　（T）-S　（I）T.本文主要得到如下结果:（1）有限Nest代数上的每个范数拓扑连续的在0点广义可导的线性映射是广义内导子;（2）若N是完备Nest且H_　 H,则algN上的每个范数拓扑连续的在0点广义双边可导的线性映射是广义内导子.     

Self-intersecting geodesics and entropy of the geodesic flow

Given a symmetric Finsler metric on T^2 whose geodesic flow has zero topological entropy, we show that the lift in the universal covering R^2 →T^2 of any closed geodesic on T^2 must be an embedded curve in R^2.     

（2＋1）-DIMENSIONAL Tu HIERARCHY AND ITS INTEGRABLE COUPLINGS AS WELL AS THE MULTI-COMPONENT INTEGRABLE HIERARCHY

Under the frame of the(2 1)-dimensional zero curvature equation and Tu model,(2 1)-dimensional Tu hierarchy is obtained.Again by employing a subalgebra of the loop algebra ■_2 the integrable coupling system of the above hierarchy is presented.Finally,A multi-component integrable hierarchy is ob- tained by employing a multi-component loop algebra ■_M.     

基于$q$-差分Painlev\'e方程的几类$q$-差分方程解的性质

文章讨论了几类$q$-差分Painlev\''e方程的亚纯解性质,获得了方程亚纯解的存在性条件、增长级的估计,以及亚纯解$f$的$q$-差分$\Delta_qf(z):= f(qz)-f(z)$的极点收敛指数的估计等结果,进一步推广了Qi-Yang的结果.     

一种带有陷波单元的高温超导滤波器设计

提出了一种带有陷波单元的新型高温超导滤波器设计结构,在输入、输出馈线附近设置陷波单元对特定频率产生陷波作用,在滤波器的传输特性上成传输零点,提高了滤波器设计的灵活性,基于这种新型结构设计了高边缘陡峭度滤波器和邻频双通带滤波器.     

混合物理化学气相沉积法制备MgB$lt;sub$gt;2$lt;/sub$gt;单晶纳米晶片的研究

利用混合物理化学气相沉积法在石墨衬底上制备出了晶形为六角结构、厚度不同、径向尺寸不一的MgB₂单晶纳米晶片. 利用纳米定向转移技术将此晶片转移到了碳支持膜铜网上, 以便对其精细结构等物性进行表征. 电输运测量和磁性测量结果都表明晶片具有超导电性: T_conset=38 K, T_c(0)=33 K. 扫描电子显微镜图像表明, 晶片表面平整、厚度分布在几个纳米到200 nm之间, 宽度从几微米到上百微米; 高分辨透射电镜图像显示出晶片具有周期性晶格条纹. 选区电子衍射数据与MgB₂已有的单晶衍射数据相符. 这些测量结果证实了其确为高质量单晶MgB₂超导纳米晶片. 本文不仅提出了一种全新的制备单晶MgB₂的方法, 也观察到了纳米尺度MgB₂单晶的零电阻现象, 为后续的磁通钉扎、纳米力学性能等领域的深入研究提供了合适的素材. 关键词： 2')" href="#">单晶MgB₂ 超导纳米晶片 零电阻 混合物理化学气相沉积法     

基于零拍探测和压缩真空光输入增强Sagnac效应

利用量子技术增强Sagnac效应提高陀螺输出精度具有重要的研究意义, 是实现全自主导航的重要途径. 以相干态激光作为输入光源的光学陀螺因真空零点波动使其输出精度限制于散粒噪声极限而难以提高. 为减小真空波动的影响, 提出在激光输入的分束器的另一输入端输入压缩真空光并结合平衡零拍探测技术的方法增强Sagnac效应. 理论分析表明Sagnac效应性能得到有效提升: 干涉输出的灵敏度检测极限和动态范围均随着压缩程度的增加而呈指数级增长. 该方法只需对经典光学陀螺做少量改动就可实现, 是提高光学陀螺输出精度的一种新方法.     

辐射流体力学的分子动理学自适应加密方法(英文)

通过构造新的平衡分布函数和结合分区自适应网格加密方法,对不带扩散项的平衡辐射流体力学方程,构造二阶的分子动理学BGK-AMR格式.一方面在关心的计算区域中局部加密计算网格,提高计算精度的同时大大节省了计算网格数量和计算时间;另一方面,不同于已有的参数强耦合平衡分布函数,新构造的平衡分布函数中各参数不相互依赖,简化了辐射流体力学分子动理学格式的计算.一维和二维的数值算例显示了格式的性能.     

Majorana zero modes,unconventional real-complex transition,and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice

A one-dimensional non-Hermitian quasiperiodic p-wave superconductor without PT-symmetry is studied.By analyzing the spectrum,we discovered that there still exists real-complex energy transition even if the inexistence of PT-symmetry breaking.By the inverse participation ratio,we constructed such a correspondence that pure real energies correspond to the extended states and complex energies correspond to the localized states,and this correspondence is precise and effective to detect the mobility edges.After investigating the topological properties,we arrived at a fact that the Majorana zero modes in this system are immune to the non-Hermiticity.     

ATRP of styrene catalyzed by elemental Fe(0) and Br2: An easy and economical ATRP process

In this work, zero‐valent iron (Fe(0)) (powder or wire) and elemental bromine (Br₂) were used as the catalysts for atom transfer radical polymerization (ATRP) of styrene (St) without any additional initiator at 110 °C. The polymerizations happened with controlled evidence at appropriate molar ratio of Fe(0) to Br₂: a remarkable increase of molecular weights with St conversions, the narrow molecular weight distributions and living polymer chains end‐capped by Br. More Br₂ or less Fe(0) led to a slow polymerization rate but an improved control over molecular weights. After examining the polymer chain ends by matrix‐assisted laser desorption/ionization time‐of‐flight mass spectrometry, it was concluded that the polymerization was initiated by thermal self‐initiation, and regulated by the in situ generated Fe^IIIBr₃. The results suggested that the Fe(0)/Br₂ catalyzing polymerization was a classical ATRP process with easier operation and more economical components. © 2012 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem, 2012