从三个角度考察柯西不等式

柯西不等式是高等数学中的重要不等式,它在解析几何、数学分析与高等代数这3门数学专业主干基础课程中均有渗透.从这3门课程的角度,分别给出柯西不等式的不同形式和证明过程,并简要地阐述它们的联系,最后做出小结.     

定积分中值定理的应用及推广

本文给出了曲线积分的中值公式，为解决有关问题提供新途径．     

用Riccati变换求解同调谐振子

利用Riccati变换求解同谐谐振子的定态薛定谔方程,求得了能谱及态函数 关键词： 同调谐振子 本征值谱 Riccati变换法     

Li—方程族的换位表示和一个驻定系统

本文据文[1]的思路,得到了Li-谱所对应的发展方程族的换位表示,并讨论了一个驻定系统.     

Theoretical Research on a Kind of Quantum Left-handed Metamaterial

Recently, research on left-handed materials （LHMs） has attracted considerable attentions. The LHMs are a kind of metameterial which have negative permittivity and negative permeability, which lead to negative refractive index in a frequency range. The LHMs that have been available so far are in the microwave range and are usually composed of classical particles, such as split-ring resonators. Some quantum phenomena such as spontaneous emission of atoms in the LHMs which are considered to be ＇classical background＇ have also been investigated. Many potential applications of LHMs have been proposed, such as superlenses which, in principle, can achieve arbitrary subwavelength resolution.     

A Class of Two-mode Nonclassical State via Generalize Super Positions of Two-mode Coherent States

A new method is introduced to generate a elliptical hollow beam inside a cavity. Using a matrix eigenvalue method, the laser resonator with optical diffraction elements is theoretically analyzed and simulated. A elliptical hollow beam of good quality is realized experimentally. The interaction between linearly polarized elliptical hollow beam and a two-level atom is investigated theoretically. Although the linearly polarized elliptical hollow beam does not carry angular momentum, it can produce very high torque. The atoms initially at rest and located at off-beam- axis positions will rotate under the drive of the torque of the beam. The atomic motion trajectory in the field of elliptical hollow beam has been demonstrated. The study shows that the elliptical hollow beam might be a useful tool in the study of vortex property of Bose-Einstein condensate or ultra cold atom media.     

Liénard型系统解的定性行为

该文讨论非线性系统 x＝1/a(h(y)-F(x)), y＝-a(x)g(x) (E)解的一些定性行为,获得了系统(E)为振动,全局渐近稳定,全局中心的充要条件和周期解的存在的充分条件.     

我院近7年剖宫产率及剖宫产指征变化的临床分析

目的：总结我院近7年剖宫产率及剖宫产指征的变化。方法：回顾性分析我院近7年来剖宫产孕妇的临床资料。结果：剖宫产率逐年升高,2000年为29%,2006年为54.30%,增加1.87倍;2000年-2003年剖宫产的指征难产排第一位,而近3年,社会因素占第一位。结论：剖宫产率升高主要与社会因素有关,降低剖宫产率的关键是严格掌握剖宫产指征,尽量减少因社会因素而行剖宫产术。     

强化税收职能与优化税收管理

理论界对税收职能的论述,虽然观点不尽一致,但不管怎样表述,税收的各种职能,最终都要通过税收征管来实现。征管工作的质量,时实现税收的职能有重大影响。要使税收职能作用能发挥到最佳状态,基本前提是有效的征收、规范的管理、严格的稽查,也就是税收征纳行为的法制化、规范化、科学化。     

量子输运理论与非平衡手征凝聚

讨论量子输运理论以及反常手征凝聚 (DCC)的产生和演化 .建立了手征Nambu Jona Lasinio模型的量子输运方程和约束方程 .发现非平衡的夸克自旋分布是产生DCC的主要物理起因 ,而量子离壳效应可能导致长寿命的DCC .