规范变换和量子相位因子

本文从历史发展的和几何的角度说明规范变换,相位因子和规范场等物理概念的关系。它是作者一组关于规范场理论记述[1～6]的后续和补充,特别是从规范的历史发展和相位因子几何概念初步去理解杨—米尔斯规范理论的渊源。本文只是从初等水平去说明,不去触及纤维丛等数学,以避免需要拓扑学的预备知识。     

对称函数各完备集展开系数之间的转换

本文从三种构成完备集的对称函数的定义及有关性质出发，讨论了对称函数在各完备集中展开系数之间的转换，给出了相应的变换矩阵，从而建立了各完备集之间的相互联系.     

试论社会转型与师范教育功能的转变

面对信息化、全球化的浪潮,对师范教育功能的认识不应仅限于师范教育如何对社会所提出的要求所作出的回应,而应从师范教育的内在属性出发寻找其变迁的动力与合法性基础。伴随着知识的增长方式与教师社会地位的变迁,有关师范教育功能的讨论也不应仅限于专业性与师范性的争论与探讨,还应更多地涉及社会转型过程中的知识性质与教师社会地位的变迁,呈现出应对社会发展的多元开放功能景象。     

The Kinematics of the Planar Motion of Ideal Fiber-Reinforced Fluids: An Integrable Reduction and Bäcklund Transformation

We establish that the kinematic constraints on the steady planar motion of an ideal fiber-reinforced fluid can be consolidated in a single third-order nonlinear equation. Remarkably, this equation admits a solitonic reduction related to the classical sine-Gordon equation. The kinematic conditions in this case admit a novel duality property and a Bäcklund transformation.     

Stability of solutions to Hilbert boundary value problem under perturbation of the boundary curve

In this paper, the authors discuss the stability of the solutions to Hilbert boundary value problem under perturbation of the unit circle. When the index of this problem is non-negative, by extending Lavrentjev's conformal mapping on a region approximating to a unit disc, we show the solutions are stable under small perturbations. For negative index we give a conception of quasi-solution and discuss its stability correspondingly.     

Cohomological aspects of gauge theories: superfield formalism

Some of the key cohomological features of the two (1 + 1)-dimensional (2D) free Abelian- and self-interacting non-Abelian gauge theories (having no interaction with matter fields) are briefly discussed first in the language of symmetry properties of the Lagrangian densities and the same issues are subsequently addressed in the framework of superfield formulation on the four (2 + 2)-dimensional supermanifold. Special emphasis is laid on the on-shell- and off-shell nilpotent (co-)BRST symmetries that emerge after the application of (dual) horizontality conditions on the supermanifold. The (anti-)chiral superfields play a very decisive role in the derivation of the on-shell nilpotent symmetries. The study of the present superfield formulation leads to the derivation of some new symmetries for the Lagrangian density and the symmetric energy-momentum tensor. The topological nature of the above theories is captured in the framework of superfield formulation and the geometrical interpretations are provided for some of the topologically interesting quantities.     

近光速运动物体视觉外形的确定

本文发展了两种确定近光速运动物体视觉外形的简法。一种是直接根据洛伦兹变换所得出的解析法;另一种是使用图解法。这些方法的特点是简单易行,不需要更多的数学和相对论方面的知识。     

一种间接测量圆柱形管内样品冲击波压力的方法

 描述了一种联合使用锰铜计和康铜计间接测量柱对称滑移爆轰条件下，金属管内样品中冲击波压力的方法。给出了冲击压缩方法合成纤锌矿型氮化硼（wBN）时的测量结果。结果表明：管内样品中压力范围大致在11.5~22 GPa范围内，满足冲击波合成wBN所需的压力条件；管内样品压力的发展变化具有不连续性。证明了这种间接测量管内压力的方法是可行的。     

ZYA系统的拉曼光谱研究

测试了６０ｗｔ％ＺｒＯ２（２．２５ｍｏｌ％Ｙ２Ｏ３）－４０ｗｔ％αＡｌ２Ｏ３（ＺＹＡ）粉末样品受高压前后的拉曼光谱，并由此证明了四方相ＺｒＯ２陶瓷基质的相变增韧机制。     

离散Lyapunov矩阵方程X—AXB=C的一种数值解法

本文提供了求解离散Lyapunov矩阵方程的一种数值解法。首先讨论了系数矩阵为三对角形矩阵的公式解法,然后通过相似变换,将该方法推广到一般情形。