向量及其运算

向量具有代数形式和几何形式的双重特征,是数形结合的一个典范．更是解决很多实际问题的重要工具和方法．     

Fast Theoretical Simulation for Design of Helical Flux Compression Generators

A theoretical scheme is derived to achieve the numerical simulation of helical flux compression generator （HFCG） design, by which not only any physical approximation is not made, but also numerical simulation can be fast obtained. In particular, an analytic formula to calculate the inductance is deduced, which is extremely close to the experimental results. The physical process of relevant interesting physical quantity, such as inductance, enlarging current, and magnetic flux density, can be calculated to compare with the experimentally quantitative results.     

Horizontal Connection and Horizontal Mean Curvature in Carnot Groups

In this paper we give a geometric interpretation of the notion of the horizontal mean curvature which is introduced by Danielli Garofalo-Nhieu and Pauls who recently introduced sub- Riemannian minimal surfaces in Carnot groups. This will be done by introducing a natural nonholonomic connection which is the restriction （projection） of the natural Riemannian connection on the horizontal bundle. For this nonholonomic connection and （intrinsic） regular hypersurfaces we introduce the notions of the horizontal second fundamental form and the horizontal shape operator. It turns out that the horizontal mean curvature is the trace of the horizontal shape operator.     

非自治时滞微分方程的正周期解

By utilizing a fixed point theorem on cone,some new results on the existence of positive periodic solutions for nonautonomous differential equations with delay are derived.     

Synchronization of Chaotic Storage-Ring Free-Electron Laser by Bi-Directional Coupling Scheme with the Coupling Strength Varied Periodically

We analyse the chaotic dynamics of storage-ring free-electron lasers and report a bi-directional coupled scheme with the coupling strength varied periodically to synchronize two chaotic storage-ring free-electron lasers. The period is the same as the period of system＇s external modulation. ,The possibility of synchronization is proven according to the Lyapunov stability theory. The results of numerical simulation are obtained. Both the numerical simulation and theoretic analysis show that two storage-ring free-electron lasers can be controlled in the synchronization in a short time with this method.     

分子轨道图形理论的新进展

1977年,本刊发表了分子轨道图形理论一文,用切割图的边及除去图片断的观点,统一地讨论简单分子轨道理论(HMO)中能级与波函数的计算。十多年来,化学图论迅速发展,不局限于HMO传统模式,从微观上讨论分子行     

脉冲激光偏振方向对氮分子高次谐波的影响——基于含时密度泛函理论的模拟

采用含时密度泛函方法,结合赝势模型和电子交换相关作用的广义梯度近似,模拟了氮分子在超强飞秒激光脉冲作用下的高次谐波产生现象,并研究了激光脉冲偏振方向对氮分子高次谐波的影响.结果表明氮分子的高次谐波谱具有典型原子谐波谱的特征;谐波谱强度随着θ(激光偏振方向与分子轴向夹角)的增大而减小.这与J.Itatanl在Nature上报道的实验结果基本一致.     

单形的构造定理

单形的构造定理由Menger最先解决,即他解决了有限点集在E~n中等长嵌入问题。本文给出了单形的另一构造定理,即有限点集在E~n中等长嵌入的一个充分必要条件: 定理预给C_(n+1)~2个正数d_(ij)(1≤i相似文献   

交流源作用下介观RLC电路系统量子态随时间的演化

根据量子不变量理论，同时考虑介观电容器极板间电子波函数的耦合作用和电路的耗散,研究介观RLC电路系统在交流电流源作用下动力学的演化过程，并且得到描述系统量子态随时间的演化算符.进一步的分析结果表明，介观RLC电路系统的波函数将由任意的初态演化到一般的压缩态. 关键词： 介观RLC电路 交变电源 不变量理论 时间演化算符