Infinitely Many Sign-changing Solutions for a Schr(o)dinger Equation in RN

We consider the existence of infinitely many sign-changing solutions for the nonlinear timeindependent schr(o)dinger equations of the form {-△u+Vλ(x)u=f(u), u∈H1(RN), (1.1) where Vλ(x) = λα(x) + 1.     

结晶化学基础理论在现代X射线单晶结构分析中的一些应用

研究化学物质分子结构的方法很多,而衍射法是其中主要的方法之一,它包括X射线衍射、中子衍射和电子衍射等。由于X射线容易得到,而且成本较低,因此、X射线衍射法是分     

Electron Holography of Barrier Structures in Co／ZrAlOx／Co Magnetic Tunnel Junctions

We investigate the potential profiles and elemental distribution of barriers in Co/ZrAlOx/Co magnetic tunnel junctions (MTJs) using electron holography (EH) and scanning transmission electron microscopy. The MTJ barriers are introduced by oxidizing a bilayer consisting with a uniform 0.45-nm Al layer and a wedge-shaped Zr layer (0-2 nm). From the scanning transmission electron microscopy, AlOx and ZrOx layers are mixed together, indicating that compact AlOx layer cannot be formed in such a bilayer structure of barriers. The Eli results reveal that there are no sharp interfaces between the barrier and magnetic electrodes, which may be responsible for a smaller tunnelling magnetoresistance compared with the MTJs of Co/AlOx/Co.     

发挥“数学应用”教学的多方面素质教育功能

素质教育要求数学教学要培养学生的数学应用能力，我们认为培养学生数学应用能力既是目的，也是手段，在培养学生的数学应用能力的过程中，还应努力挖掘其它的素质教育功能，充分发挥“数学应用”教学的多层次素质教育作用．１．在“数学应用”教学中培养学生的数学应用能...     

Energy Density in Quark-Gluon Plasma

We study the energy density in quark-gluon plasma. At the very high temperature, the quark matter is a hot and dense matter in the colour deconfinement condition, and quarks can coalescent diquarks. Energy density of this system is worked out and compared with the energy density in the other two kinds of situations. Possible energy density is about ε0≈2.4 GeV/fm^3 according to our estimation for quark matter including diquarks.     

Self-assembly behaviour of amphiphilic diblock copolymer in selective solvents studied by synchrotron small-angle x-ray scattering

The aggregation behaviour of styrene-vinyl benzoic acid (PSm-b-PVBAn) amphiphilic diblock copolymers in selective solvents with different m and n was investigated by synchrotron small-angle x-ray scattering (SAXS). We have carried out a detailed analysis of scattering intensity, dimension, shape and microstructure of the diblock copolymers of narrow distribution in water, methanol, ethanol and isopropanol selective solvents, respectively. We have found that the aggregation behaviour of the copolymer depends on the nature of the solvent and the micelle forms fiat disc objects with the ratio of radius ω=0.4. The average radius gyration Rg of the copolymer decreases as solvents change from isopropanol to ethanol and to methanol, and increases with increasing pH in aqueous solution, but decreases with the addition of COCl2 in ethanol solvent. The scattering intensity of diblock copolymer micelle follows I(h) ∝ h^-α in different selective solutions, suggesting that the PSm-b-PVBAn coils have self-similar structure behaviour or a fractal structure in the selective solvents. All of these revealed that the aggregation behaviour of the diblock copolymer changes dramatically with experimental condition in the selective solvent. The increase of mass fractal dimension (Dm) from 2.12 to 2.47 indicates that the copolymer chain changes from a swollen coil to a rather compact disc in the course of changing solvents, decreasing surface fractal dimension (Ds) from 2.98 to 2.58 indicates that the copolymer micelle change from a rather rough surface to a smooth form in the course of increasing pH in aqueous solutions, and increasing Dm and Ds from 2.29 to 2.35 and 2.70 to 2.90, respectively, indicates the shrinkage of copolymer micelle to a rather compact and rough disc form by adding COCl2 in ethanol solvents.     

离子注入合成β-FeSi2薄膜的显微结构

采用MEVVA源(Metal Vapor Vacuum Arc Ion Source)离子注入合成β-FeSi2薄膜,用常规透射电镜和高分辨电镜研究了不同制备参数下β-FeSi2薄膜的显微结构变化. 研究结果表明:调整注入能量和剂量,可以得到厚度不同的β-FeSi2表面层和埋入层. 制备过程中生成的α,β,γ和CsCl型FeSi2相的相变顺序为γ-FeSi2→β-FeSi2→α-FeSi2,CsCl-FeSi2→β-FeSi2→α-FeSi2或β-FeSi2→α-FeSi2. 当注入参数增加到60kV,4×1017ions/cm2,就会导致非晶的形成,非晶在退火后会晶化为β-FeSi2相,相变顺序就变为非晶→β-FeSi2→α-FeSi2. 随退火温度逐渐升高硅化物颗粒逐渐长大,并向基体内部生长,在一定的退火温度下硅化物层会收缩断裂为一个个小岛状,使得硅化物/硅界面平整度下降. 另外,对于β-FeSi2/Si界面取向关系的研究表明,在Si基体上难以形成高质量β-FeSi2薄膜的原因在于多种非共格取向关系的并存、孪晶的形成以及由此导致的界面缺陷的形成.     

GaAs1-xPx中混晶无序与Fe深中心的性质

对不同组分的掺FeⅢ-Ⅴ族混晶GaAs1-xPx,测量了Fe深受主中心空穴热发射的非指数恒温暗电容瞬态及DLTS谱。用混晶无序使Fe深能级展宽的模型理论拟合实验结果,得到Fe能级Gauss型展宽的半宽和中心能级的热发射率,并确定出基态空穴跃迁的中心能级的焓变与组分的关系:先是减少,而后增大,与由光电容方法得到的Gibbs自由能变量与组分x的关系明显不同。 进一步讨论表明,上述两种测量方法得到的Fe中心的激活能不同,可能反映Fe中心的键合状态和混晶无序诱导的品格弛豫的影响。     

带强迫项变系数组合KdV方程的显式精确解

通过构造两个新的Riccati方程组，推广了Riccati方法，使其具有简洁的形式，丰富和发展了已有的结果，借助Mathematica软件，求出了带强迫项变系数组合KdV方程的一些精确解，包括各种类孤波解、类周期解和变速孤波解. 关键词： Riccati方程组 变系数组合KdV方程 强迫项 类孤波解     

弱概周期微分方程的弱概周期解

本文利用微分方程的指数型三分性给出了弱概周期微分方程的弱概周期解的存在性定理,并讨论了弱概周期微分方程的一些性质,从而改进了文献[2—7]中的一些结果.