高Tc超导材料Bi_2Sr_2CuO_6和Bi_2Sr_2CaCu_2O_8的晶格振动对称性分析

本文运用群论方法,对高T_c Bi 系超导体中的Bi_2Sr_2CuO_(?)和Bi_2Sr_2CaCu_2O_8的晶格振动模进行了系统的对称性分类.给出了其布里渊区中(?)点,X 点和△线振动模式的对称分解和对称化基.     

探求高等数学中的对称美

高等数学中的对称关分为三类：形式和结构的对称性、命题关系中的对偶性及解题策略中的对称法。     

应用对称性研究碱金属原子的能级分裂

应用对称性研究了碱金属原子在无外场而有自旋轨道耦合作用和在均匀强弱磁场中的能级分裂，并计算了其能级一级近似值。     

Why the Afshar experiment does not refute complementarity

A modified version of Young's experiment by Shahriar Afshar demonstrates that, prior to what appears to be a “which-way” measurement, an interference pattern exists. Afshar has claimed that this result constitutes a violation of the Principle of Complementarity. This paper discusses the implications of this experiment and considers how Cramer's Transactional Interpretation easily accommodates the result. It is also shown that the Afshar experiment is analogous in key respects to a spin one-half particle prepared as “spin up along x”, subjected to a nondestructive confirmation of that preparation, and post-selected in a specific state of spin along z. The terminology “which-way” or “which-slit” is critiqued; it is argued that this usage by both Afshar and his critics is misleading and has contributed to confusion surrounding the interpretation of the experiment. Nevertheless, it is concluded that Bohr would have had no more problem accounting for the Afshar result than he would in accounting for the aforementioned pre- and post-selection spin experiment, in which the particle's preparation state is confirmed by a nondestructive measurement prior to post-selection. In addition, some new inferences about the interpretation of delayed choice experiments are drawn from the analysis.     

碳基烧蚀材料高温氧化反应机理的分子动力学研究

本文采用基于紧束缚密度泛函理论的分子动力学,研究高温下碳基烧蚀材料三种模型(无缺陷、原子缺陷以及孔洞缺陷)的氧化反应机制．研究发现高温下的反应产物主要是CO和CO₂.CO的产生过程主要源于环氧基团中C-C键的裂解,而CO₂的形成则较为复杂,主要源于小分子团簇(C₂O₂、C₃O₁、C₄O₁)的裂解．C-C键裂解是石墨氧化反应的主要途径,C-O键形成是CO和CO₂生成速率的控制因素．此外,体系的温度、缺陷以及孔洞对石墨的氧化反应机制有重要的影响．通过分析氧化反应速率,计算得到三种模型氧化反应的活化能分别为7.56、2.4和1.6kcal/mol．缺陷越明显活化能越低,则氧化反应速率较高,无缺陷的模型由于活化能最高,其氧化反应速率最低．     

On some tests-based projection pursuit for elliptical symmetry of a high-dimensional distribution

Some test statistics of Kolmogorov type and Cramér-von Mises type based on projection pursuit technique are proposed for the testing problem of sphericity of a high-dimensional distribution. The limiting distributions of the test statistics are derived under the null hypothesis and under any fixed alternative. The asymptotic properties of bootstrap approximation are investigated. Furthermore, for computational reasons, an approximation for the statistics, based on the number theoretic method, is suggested. An erratum to this article is available at .     

具有公共对称面的两个二次回转面的相贯线

本文论述了常见的两个二次回转面轴线相交和平等时,其相贯线在公共对称面（投影面）的投影分别为双曲线和抛物线,只有在特殊情况下是直线,椭圆和圆,并举例说明在计算机上绘图的方法。     

MgSiO3的分子动力学模拟

使用分子动力学模拟ＭｇＳｉＯ３以研究它的相变和超离子态．模拟采用Ｇｏｒｄｏｎ－Ｋｉｍ势和一种新的检测离子运动的技术．这项技术可以清楚地表现Ｏ２－离子的子晶格的熔解和八面体ＳｉＯ６的旋转．研究表明,ＭｇＳｉＯ３必须经历几番相变才能进入立方相．特别是在正交相和立方相之间存在一个过渡相．ＭｇＳｉＯ３确实存在超离子态相和立方相．这个超离子态相存在于熔点之前约２００～７００Ｋ．超离子态起始温度Ｔｃ和晶体熔点温度Ｔｍ的比率Ｔｃ／Ｔｍ～０．９２     

对称性对二相互作用玻色子耦合系数的制约

给出了一般形式下二体相互作用玻色系统对角化的一般方法,讨论了能对角化的条件,得到了制约耦合系数的两个关系式。