Wigner function of coherent state of N components

In this paper, we study the Wigner function of coherent state of N components, especially two components and three components. This function consists of two terms： the Gaussian term and the interference term with the negativity. The first term comprises N Gaussian surfaces evenly centred on a circle of radius ｜β｜ = ｜α｜ with a separate angle of 2π/N, and the second term is composed of 1/2N（N - 1） Gaussian-cosine surfaces evenly centred in a circular region of radius ｜β｜ 〈 ｜α｜. Here, a is the eigenvalue of the annihilation operator α, and β is a variable in some complex space in which the Wigner function is defined. We have proved that the essential condition to eliminate the negativity of the Wigner function is that the mean photon count of the coherent state is equal to that of the Glouber coherent state.     

A BOUNDARY-ELEMENT METHOD FOR NONLINEAR SLAMMING

The nonlinear condition of water-surface is considered，and by virtue of the boundary element method，the slamming problem is treated as an impact／contact model，where the impactor and water are regarded as a coupling system．The gradually iterative method is used to make that water-surface satisfies the nonlinear condition untill it achives a steady value．For solving of the slamming force，the gradually iterative approach connected with the free water-surface is used to calculate the steady value．Two-dimensional rigid cylinder slamming problems are analysed numerically．The results show the reliability and effectiveness for solving the fluid-structure impact problems with serious nonlinearities．     

基于MPEG-4硬件解码的视频终端设计

以JADE Z228多媒体Soc芯片为核心，设计了一款适用于多媒体教学的MPEG-4视频终端．介绍了以Z228单处理器芯片实现MPEG-4解码输出的软、硬件设计过程以及与周边外设的接口方法，实现了VGA640×480分辨率、每秒30帧的MPEG-4视频解码输出的目标，使视频终端具有很高的性价比．     

用Mathematica绘制两共点力的合力与两分力间夹角之间的关系图像

Mathematica是美国Wolfram Resarch公司开发的数学软件,可以用来解决各种领域中涉及的复杂的符号计算和数值计算的问题.Mathematica的主要用途是科学研究与工程技术中的计算,由于它的功能非常强大,使用非常简便,现在也被大量用于教育,成为理工科师生进行教改的有力工具,它的主要特点有:①既可以进行程序运行,又可以进行交互式运行;②既可以进行任意高精度的数值计算,又可以进行各种复杂的符号演算;③既可以进行科学计算,又可以很方便地画出各种方式表示的函数图形.     

50～1500℃金属比热的测定

测定金属比热的方法主要有落入法、绝热法及比较法等。本文在过去工作基础上用落入法和自动绝热铜块量热计测定了纯铂在50～1500℃及三种合金(不锈钢、     

含三唑与噻二唑Schiff碱的合成与植物激素活性研究

合成了10种三氮唑与噻二唑的新Schiff碱,讨论了它们的物理性质、UV、IR、1HNMR和元素分析.生物活性测试发现了一些化合物具有优良的植物激素活性,其中噻二唑的Schiff碱具有优良的生长素活性,而三唑的Schiff碱具有好的细胞分裂素活性和优异的生根性能.     

NUMERICAL-PERTURBATION ANALYSIS OF EDGE EFFECT IN BENDING LAMINATED PLATE

In this paper,we consider a bending laminated plate.At first,the dimensionlessvariables are used to transform the equilibrium equations of any layer to perturbationdifferential equations.Secondly,the composite expansion is used and the solution domain isdivided into interior and boundary layer regions and the mathematical models for the outersolution and the inner solution are yielded respectively.Then,the inner solution is expressedwith the boundary intergral equation.     

巧证Weisenbck不等式

Weisenbock不等式是:设△ABC的三边长分别为a,b,c;面积为S,则 a~2 b~2 c~2≥4 3~(1/2)S ①加强后的Weisenbock不等式是: a~2 b~2 c~2≥4 3~(1/2)S (a-b)~2 (b-c)~2 (c-a)~2 ②类似地有不等式 a~4 b~4 c~4≥16S~2 ③以及: a~4 b~4 c~4≥16S~ 2 (a-b)~4 (b-c)~4 (c-a)~4 ④①式本刊第五期黄伟华同志已给出了多种证明,这里我们先给出①及②式的巧妙构造几何模型的新奇证法。     

趋肤效应演示仪

本文介绍以镀铁细铜丝与同样粗细的铜丝对比的方法，使用低频信号演示趋肤效应的基本思想，以及根据这一思想而设计出的趋肤效应演示仪。