关于初等算子∑(X):AX+XB+CDX的值域

设A，B和C是Hilbert空间H上的紧算子，定义B（H）上的初等算子，∑(X)=AX XB CXD。本文我们给出∑值域闭的一些充分或必要条件。     

〈331〉晶向ZnTe单晶的太赫兹辐射-探测性能理论研究

根据光整流效应辐射太赫兹理论,计算了〈331〉晶向ZnTe单晶的太赫兹辐射性能.通过与〈110〉、〈111〉晶向对比,当晶体方位角为0°或180°时,利用〈331〉晶向ZnTe单晶辐射太赫兹信号可以与〈111〉晶向相当,强于〈110〉晶向.利用电光取样原理,计算了〈331〉晶向ZnTe单晶的太赫兹探测性能,通过理论计算为〈331〉晶向ZnTe 晶体有效辐射太赫兹波提供理论依据.     

GLOBAL C~1 SOLUTION OF CAUCHY PROBLEM FOR TWO-DIMENSIONAL GAS DYNAMICS SYSTEM

Using the method of characteristic lines this paper considers the global C~1 solution of the Cauchy problem for two-dimensional gas dynamics system. When the initial data degenerate to the special case φ_0(x, y)=const, the global C~1 solution is obtained. For the case of isentropic exponent γ=1, a transformation about variables is introduced, which changes the system to a first order linear hyperbolic system with constant coefficients and the global C~1 solution is also obtained in this case when the initial data of the forms (φ_0(x, y), u_0(x, y), u_0(x, y))=(exp(w_(01) (c_1x d_1y) w_(02)(c_2x d_2y)), u_(01)(c_1x d_1y) u_(02)(c_2x d_2y), u_(01)(c_1x d_1y) u_(02)(c_2x d_2y)), where c_i and d_i(i=1, 2) are constants.     

双环形Hulthén势束缚态的近似解析解

构造了双环形Hulthén势, 用指数函数近似表示任意分波的离心项, 运用函数分析法讨论双环型Hulthén势Schrödinger方程的束缚态解. 归一化的角向波函数和径向波函数用超几何多项式表示, 给出了束缚态能谱, 体系的束缚态的能谱方程和波函数与量子数和势参数有关. 中心势场和单环形势场角向波函数及 Hulthén势束缚态能谱是本文双环形Hulthén势的特例. 关键词： 双环形Hulthén势 任意分波 近似解析解 束缚态     

Improved Analytical Approximations to the Scattering Solutions of the Schrdinger Equation with a Hyperbolical Potential

Using an improved approximate formula to the centrifugal term, we present arbitrary l-state scattering solutions of the hyperbolic potential. The approximate analytical formula of scattering phase shifts and normalized wavefunctions are presented. All data calculated by the above approximate analytical formula are compared with those obtained by using the numerical integration method in the scattering state cases. We find that this improved approximate formula is better than previous one since the calculated results are in good agreement with those exact ones.     

直线与圆的位置关系

1　类比引导[幻灯片演示 :点与圆的位置关系有如下三种情形 :(1)圆的大小位置一定 ;点从圆外运动到圆内 ;(2 )圆的大小不变 ,点不动 ;圆慢慢移动 ;(3)圆心不变 ,点不动 ;圆的半径从小变到大 .]T:虽然作了种种变化 ,但最终我们观察到的点与圆的相对位置关系只有三种 .学生齐答 :点在圆外 ;点在圆上 ;点在圆内 .T:谁能用数量关系来描述这三种位置关系 ?(学生回答 ,列表 (分图形、位置关系、数量关系等项 ) ,此处略叙 .)2　积累直观形象[教具 ,一根铁棒 ,三个用硬纸板做成的大小不等的圆教师演示之一 :圆的大小位置固定 ;移动直线 ,从下方开始…     

验证形式可积系统解的完备性的机械化算法

在eid等人标准型概念的基础上，引进形式可积系统的概念，并给出验证形式可积系统解的完备性的机械化算法，并用此方法证明了各向同性弹性力学方程组的胡海昌解的完备性问题。     

Effect of hydrogenation time on magnetic and electrical properties of polycrystalline Si0.956Mn0.044:B thin films

This paper reports that polycrystalline Si 0.956 Mn 0.044 :B films have been prepared by cosputtering deposition followed by rapid thermal annealing for crystallization. The polycrystalline thin films were treated by hydrogen plasma excited with approach of radio-frequency plasma enhanced chemical vapour deposition for different time of 10 minutes, 15 minutes and 40 minutes. After hydrogenation, the structural properties of the films do not show any change, while both the saturation magnetization and the hole concentration in the films increase at first, then decrease with the increase of hydrogenation time. The obvious correlation between the magnetic properties and the transport properties of the polycrystalline Si 0.956 Mn 0.044 :B films suggests that a mechanism of hole-mediated ferromagnetism is believed to exist in Si-based diluted magnetic semiconductors.     

煤粉发热量近红外光谱检测的预处理方法研究

煤炭的发热量是评价煤炭品质的重要指标。首先对比分析了平滑处理、微分处理、多元散射校正(MSC)以及标准归一化(SNV)等光谱与处理方法在改善煤粉近红外漫反射光谱信噪比的效果,然后利用偏最小二乘法(PLS)和主成分分析方法(PCR)分别对采用每种预处理方法处理后的光谱建立煤粉发热量模型,发现采用5点平滑处理、多元散射校正和标准归一化处理可使模型的性能有较明显的改观,5点平滑效果最好,相关系数、校正标准差和预测标准差分别为：0.989 9,0.0004 9和0.0005 2,采用25点平滑处理产生了过平滑现象,导致模型的性能变坏,采用微分预处理后的光谱建立的模型没有明显变化,对模型的性能影响不大。     

一个unified系统与R(o)ssler系统的组合研究

将Unified系统和R(o)ssler系统凸组合构造了新的混沌系统,包括含两个参数的Unified-R(o)ssler 系统,以及含一个参数的Lorenz-R(o)ssler系统和Chen-R(o)ssler系统,通过计算最大Lyapunov指数谱、维数谱和计算机仿真,确定Chen-R(o)ssler系统的混沌区域.