Cauchy-Born Rule and the Stability of Crystalline Solids： Dynamic Problems

We study continuum and atomistic models for the elastodynamics of crystalline solids at zerotemperature.We establish sharp criterion for the regime of validity of the nonlinear elastic wave equationsderived from the well-known Cauchy-Born rule.     

声光调制器在激光腔倒空技术中的应用

本文介绍了以36°Y切铌酸锂为换能器,以熔石英为声光互作用介质,驱动频率为389。5MHz的声光调制器的设计;计算并选定了换能器的各镀层厚度,研制成了用于激光腔内的中心频率389.5MHz声光脉冲调制器;叙述了该器件在同步泵浦染料激光器腔倒空技术中的应用。实验表明,当驱动平均功率约0.2W时,用该器件所实现的激光腔倒空的倒空比约40％。     

关于不含k-C-圈的n阶r-一致超图的若干结果

主要讨论了不含k-C-圈的n阶r-一致超图,对不同的k,分别得出了它的极大边数的一个下界,并且得出在有些情况下它的下界是最大的.另外,我们得到了Krn含k-C-圈的一个充分必要条件.     

A Novel Contactless Method for Characterization of Semiconductors：Surface Electron Bean Induced Voltage in Scanning Electron Microscopy

We present a novel contactless and nondestructive method called the surface electron beam induced voltage (SEBIV) method for characterizing semiconductor materials and devices.The SEBIV method is based on the detection of the surface potential induced by electron beams of scanning electron microscopy (SEM).The core part of the SEBIV detection set-up is a circular metal detector placed above the sample surface.The capacitance between the circular detector and whole surface of the sample is estimated to be about 0.64pf.It is large enough for the detection of the induced surface potential.The irradiation mode of electron beam (e-beam) influences the signal generation When the e-beam irradiates on the surface of semiconductors continuously,a differential signal is obtained.The real distribution of surface potentials can be obtained when a pulsed e-beam with a fixed frequency is used for irradiation and a lock-in amplifier is employed for detection.The polarity of induced potential depends on the structure of potential barriers and surface states of samples.The contrast of SEBIV images in SEM changes with irradiation time and e-beam intensity.     

ON DIRECT METHOD OF SOLUTION FOR A CLASS OF SINGULAR INTEGRAL EQUATIONS

In this article, by introducing characteristic singular integral operator and associate singular integral equations (SIEs), the authors discuss the direct method of solution for a class of singular integral equations with certain analytic inputs. They obtain both the conditions of solvability and the solutions in closed form. It is noteworthy that the method is different from the classical one that is due to Lu.     

极限存在准则的一种证明方法

<正> 极限存在准则。工科学生大多未见其证明。今用10进制小数式证之。这种证明方法,学生易于接受。1.实数a_1,a_2,a_3,…,a_n,…是一列无穷个数,其中每一个都是0,1,2,…,9中的一个;又任一个的后面不     

定量分析小鼠肝和肌肉组织磷酸腺苷含量及其影响因素

在定量分析动物组织ATP、ADP和AMP方法中，HPLC法已成为一种快速、灵敏、准确、廉价的检测手段。然而，有关其影响因素方面的研究报道较少，且主要集中在色谱柱、流动相和流速等方面。本实验着重探讨动物组织样品的保存条件和前处理过程对检测结果的影响，以便在动物组织样品ATP、ADP和AMP含量的检测中更合理地使用HPLC法，准确反映各成分的真实含量。     

Collision-induced timing jitter in dispersion-managed WDM soliton system with filtering

Taking into account the randomicity of collision positions and the arbitrary encoding of data in channel,the influences of different dispersion management on collision-induced timing jitter in a filtered wavelength division multiplexing (WDM) soliton system are obtained statistically and numerically by applying a set of coupled ordinary differential equations which are derived through variational procedure. The optimal dispersion managements which can greatly reduce the collision-induced timing jitter are found. The multi-channel collision-induced timing jitters in a filtered WDM soliton system are given with an optimal dispersion management and constant dispersion.     

Schrodinger Equation for an Open System

We present a Schrodinger (Liouville) type of equation for a quantum open system.It has a correlated part,and various master equations may be its special cases.It also has significant applications for constructing decoherencefree subspace for quantum computation.It is related to the original Schrodinger (Liouville)equation for the total system through a non-unitary similarity transformation.It is unnecessary for its correlated part to be self-adjoint,so there is a complex spectrum for the corresponding Hamiltonian (Liouvillian),which enables the time evolution of states to be asymmetric.This shows just the correlation to produce evolution of world.     

关于Menger图的几种运算

设Ｇ是一个简单连通图，若分离Ｇ的余一独立集Ｓ的最小点数等于连接Ｓ的点之间的内部不相交路的最大个数，则称Ｇ是Ｍｅｎｇｅｒ图。我们考虑了图的几种运算并给出了运算后的图是Ｍｅｎｇｅｒ图的条件。