镁离子内扩散铌酸锂研究(Ⅱ)—— X射线衍射和扫描电子显微镜表征

对不同扩散条件的铌酸锂单晶基片进行了X射线衍射分析(XRD)和扫描电子显微镜观察(SEM)。结果表明,在扩散表面富镁层出现一新相结构,可能是由Li-Mg-Nb-O组成的三元系相结构,这一新相被认为是镁离子内扩散的真正扩散源。并对晶格发生畸变、镁离子内扩散机理以及镁的扩散层折射率变化机理进行了分析和讨论。 关键词：     

集合环

本文用集环来表现模糊集，得到了表现定理的新形式，并证明了这种表现可以有限化，即用有限个经典集近似刻划模糊集并且这样的刻划是同态的。最后，证明了集对方法是集环表现的特殊情形。     

B-Spline with Symplectic Algorithm Method for Solution of Time-Dependent Schrodinger Equations

A B-spline with the symplectic algorithm method for the solution of time-dependent Schrodinger equations （TDSEs） is introduced. The spatial part of the wavefunction is expanded by B-spline and the time evolution is given in a symplectic scheme. This method allows us to obtain a highly accurate and stable solution of TDSEs. The effectiveness and efficiency of this method is demonstrated by the high-order harmonic spectra of one-dimensional atoms in comparison with other references.     

用矩阵的谱分解研究线性矩阵方程

本利用矩阵的谱分解来研究线性矩阵方程，并给出当A，B为简单矩阵(即可对角化方阵)时，方程AX-XB=C和X=AXB=C有解的充要条件及通解形式。     

熵与信息——麦克斯韦妖的启示

 在生物进化论的背后,存在两个带根本性的问题:一是生命的起源,即如何从无生命的物质变为有生命的物质,也可以说从无序到有序的问题;二是生物的遗传与变异,那就是从有序到有序的问题.对于第一个问题,目前科学家掌握的资料尚少,还没有得到明确的结论;而对于第二个问题,已经画出了一个基本的轮廓,这是20世纪自然科学的最重大成就之一.     

在ILC上用γγ→Z过程检验非对易时空标度

讨论关于在ILC用γγ到Z过程检验非对易时空能标(原文发在hep-ph/0604115). 在通常时空量子场论中, 由杨氏定理可知一个自旋为1的粒子不可能衰变为两个光子. 但在非对易时空中此过程是允许的. 因此这个过程能作为检验非对易时空的工具. ILC的光子对撞模式能实现这个过程. 如果总亮度能达到500fb^－1, 我们证明对Gamma (Z to gamma gamma)宽度的测量精度将比现有限制(<5.2×10^－5GeV)好3—4个数量级. 对非对易时空能标的检测可高达几个TeV.     

Raman Spectra of Proton-Exchanged LiNbO3 Optical Waveguides

Based on the Raman spectrum measurement, we investigate the mechanism of proton exchange, by which the optical waveguides are formed in the LiNbO3 crystal which are proton doped. The proton source is formed by a mixture of benzoic and adipic acids. The experimental results show that there is a Raman formant peak of optical waveguide at 650cm^-1, and the higher the relative percentage of the mol ratio of adipic acid dilution, the higher the intensity of the Raman formant peak.     

Eu,Dy共掺杂SrAl2O4长余辉材料制备新工艺

活化Al-Sr合金粉末水解制备SrAl₂O₄长余辉材料的前驱体,并采用高温固相反应法制备出Eu,Dy共掺杂的SrAl₂O₄长余辉材料,对其微观结构和发光特性进行了研究。实验结果表明:前驱体中Al、Sr元素在微观状态下分布均匀,所制成的长余辉发光材料的发射主峰位于520nm附近,为典型的Eu²⁺离子4f5d-4f的特征发射,初始亮度达到18cd/m²,余辉时间长达46h。     

对合的分解

Using the notion of biconnected sum we define the biconnected sum (T₁, M₁)§(T₂,M₂) of two involutions (T1M1) and (T2,M2) which is an involution on the biconnected sum M₁,§M₂. A connected involution is said to be reducible if it can be expressed as a biconnected sum of two connected involutions.Theorem Each connected involution (T, M) can be decomposed into a bi-connected sum of connected irreducible involutions (T, M)=(T₁, M₁)§…§(T_q,M_q),and (?) where the coefficients of H_{n_1}(M) are in Z/2 Z if M is unoriented, in Z if is oriented .