广义相对论的珍宝

 从前人们的生活很简单,科学不发达,要跟上物理发展的步伐并不难。今天要做到这一点,对我们大多数人来说,把全部精力和时间都投进去也是不够的。总之,我抓住这条理由,来辩解为什么没有对广义相对论在它从一种鉴赏品发展到一门硬科学的过程中给予关注。     

高维Mobius群几何形式的Jφrgensen不等式

本文给出了两个n维Mobius变换的共轭不变量,利用所得的不变量和不动点的交比,得到了两个关于高维非初等离散Mobius群的几何形式的JФrgensen不等式.特别地,这两个不等式是共轭不变的.     

Ⅱ型循环拟差集的一些不存在性定理

本文研究(v,k,λ)-Ⅱ型循环拟差集存在的必要条件,特别对 v≡1(mod 4)的情形,给出了一些不存在性定理。最后指出:满足 v≡1(mod 4),v<100的整数v,除了 v=45,69,73,81,93外,其余参数的(v,k,λ)-Ⅱ型循环拟差集的存在性问题均获得完满解决。     

关于逆向Pedoe不等式及其应用

本文给出著名的Pedoe不等式之逆向不等式(3),并利用它得出著名的Oppenheim不等式之逆向不等式(12)。此外,本文还给出正定厄米特矩阵的Minkouski不等式之逆向不等     

Mechanism for Influence of Nose Bluntness on Asymmetric Vortices

Pressure distributions on slender bodies are measured at various roll angles; it is found that the side loads on the blunted-nose slender body are as small as one-third of that on a pointed-nose one, or even zero at some roll angles. Numerical simulation shows that different flow structures are generated on the leeside of the bodies with different noses. The results confirm that a structure of U-shaped horseshoe vortex develops on the top of the blunted nose due to the closed type of surface flow separation. The shear layer separated from the nose is entrapped into the horseshoe vortex core and forms two mainof this structure is to hold in the two main nose vortices andvortices on the two sides of the body. The function to restrict the emergence of asymmetry.     

Investigation of Exotic Structure of the Largely Deformed Nucleus ^23A1 in the Relativistic-Mean-Field Model

A candidate for proton halo nucleus ^23A1 is investigated based on the constrained calculations in the framework of the de[ormed relativistic mean tield (RMF) model with the NL075 parameter set. It is shown by the constrained calculations that the ground state of ^23A1 has a large deformation that corresponds to the prolate shape. With that large deformation, the non-constrained RMF calculation predicts that there appears an inversion between the 2s1/2 [211] and ld5/2 [202] shells. The valence proton of ^23A] is weakly bound and occupies 2s1/2 [211] and ld5/2 [202] with the weights of 56% and 29%, respectively. The calculated RMS radius for matter is in agreement with the experimental one. It is also predicted that the difference between the proton RMS radius and the neutron one is very large, This suggests that there exists a proton hMo in ^23Al.     

对映体识别——不对称合成中的新概念

对映体识别指的是同种构成的对映体之间的相互作用。这种现象广泛存在于固相、液相中。本文讨论了对映体识别对于溶液的物理、化学性质的影响，以及它在对映体拆分、纯度测定等方面的应用，并介绍了由它引起的手性放大这一不对称合成中的新发现     

偏微分方程组的Lie群与高阶对称群的Taylor多项式逐步精化算法

本文基于生成函数的Ｔａｙｌｏｒ展开式及逐步简化步骤，提出了计算偏微分方程组的Ｌｉｅ群与高阶对称群的Ｔａｙｌｏｒ多项式算法，把标准算法中的求解超定偏微分方程组的问题转化为求解代数方程组的问题，降低了求解的难度，提高了计算效率，并且易用计算机代数系统在计算机上全过程实现，并得到重要的对称群     

非齐次Toda晶格的对称,精确解和可积性

研究非齐次Toda晶格，即一类非齐次非线性微分差分方程的对称与可积性。给出了这一类方程的Lie点对称，条件对称和精确解。给出这类方程与Toda晶格之间的可逆点变换，从而表明这一类方程是可积的。     

利用具有轨道角动量的光束实现微粒的旋转

采用扭转柱面镜光学系统将半导体激光抽运固体激光器产生的厄米高斯光束变换成为具有轨道角动量的扭转对称光束.利用该光束具有的轨道角动量特性研制成功了“光学扳手”， 利用“光学扳手”实现了对微米量级微粒的俘获和旋转. 关键词： 轨道角动量 扭转对称光束 光学扳手 光束变换