2×n阶网络侧端等效电阻的另一种公式

再次研究了2×n阶梯形网络的侧端等效电阻,通过网络分析构建差分方程模型,给出了2×n阶梯形网络侧端等效电阻的另外一个普适规律,并通过具体的特例进行了比较与验证.     

基于形态学4子带分解金字塔的图像融合

提出了一种基于数学形态学滤波的多分辨力图像融合。这种融合方法使用了形态学开闭运算构造了低通与高通滤波器,将原始图像分解为4子带图像金字塔和4子带方向衬比度图像金字塔。然后利用方向衬比度和区域标准差进行图像融合得到融合的4子带图像金字塔,最后应用子带图像重构得到融合图像。融合实验表明,该方法优于传统的形态学金字塔图像融合,衬比度金字塔图像融合和小波分解图像融合。     

The multielectron dissociative ionization dynamics of N2 molecule in intense femtosecond laser fields with arbitrary polarization

The field-ionization Coulomb explosion model is extended to investigate the multielectron dissociative ionization process of N₂ molecule irradiated by an intense femtosecond laser field with an arbitrary polarization. The ionization process of N₂ molecule is found to be optimal at the critical internuclear distance R_c=7a.u., which is independent of the laser polarization state, the molecular explosion channel and the angle between the molecular axis and the direction of laser electric field. The kinetic energies of the ion fragments are identical in the cases of linear and circular polarizations at the same incident laser intensity. However,the probability of electron ionization is very sensitive to the above three parameters. At the critical distance R_c=7a.u. the angular dependence of the threshold intensity for the over-the-barrier ionization leads to the geometric alignment of molecules in the case of linear polarization. The threshold intensity in the case of circular polarization is apparently higher than that in the case of linear polarization, which can well explain the significant decrease of ionization in the case of circular polarization. The numerical calculations are compared with the experimental measurements.     

电子云可冻结成“玻片状轨道”

在近代量子力学的图像中，环绕着原子与分子的电子云具有各种不同的形态结构，一般在某一测定时间内，其形状为球状或哑铃状．这类形状通常称为电子轨道，它们可在飞秒量级的时间内明显地观测到．这些电子轨道也可在简并态(具有相同能量的量子态)间相互跃迁；如在相同轴上由垂直哑铃转变为水平哑铃等．     

A Multi-component Matrix Loop Algebra and Its Application

A set of multi-component matrix Lie algebra is constructed. It follows that a type of new loop algebra A^- M-1 is presented. An isospectral problem is established. Integrable multi-component hierarchy is obtained by Tu pattern, which possesses tri-Hamiltonian structures. Furthermore, it can be reduced to the well-known AKNS hierarchy and BPT hierarchy. Therefore, the major result of this paper can be regarded as a unified expression integrable model of the AKNS hierarchy and the BPT hierarchy.     

Electrical Resistance Measurement of an Individual Carbon Nanotube

Aiming at the difficulty in the electrical resistance measurement, we develop a simple statistical model for the carbon nanotubes adequately dispersed in available insulated liquid and introduce the concept of “the most probability”. Based on this model, we obtain the function between macroscopic resistance R and resistance of an individual nanotube, Ro, from which one can calculate the resistance of an individual nanotube by measuring the macroscopic resistance. By computational simulation, we prove the reliability of the model. Then, we analyse the feasibility of the model when applied to experiment.     

Recursion Relations of Radial Wavefunctions of the Hartmann Potential

We obtain exact bound state solutions of the radial Schroedinger equation with the Hartmann potential, as well as two kinds of recursion relations of radial wavefunctions by using Laplace transformation. Those results are expressed only in terms of the principal and angular-momentum quantum numbers.     

Multi-Partite EPR Entangled State Representation for Continuous Variables and Its Application in Squeezing Theory

By extending the Einstein-Podolsky-Rosen (EPR) bipartite entanglement to an n-partite case, we construct the common eigenstate of the n-partite total coordinate and relative momenta for the continuous variables. The entanglement property of the state is shown. The classical dilation transform of variables in such a state induces a new n-mode squeezing operator related to an n-mode bosonic operator realization of SU(1,1) Lie algebra.     

方兴未艾的磁致电阻研究

 我们知道,在金属中散射作用是电阻产生的主要原因,这包括杂质散射和晶格热运动引起的电声子互作用。根据动量定理,电子在时间间隔△t内受到电场E的作用而产生的定向漂移速度.     

多酸有机亚胺衍生物的紫外-可见光谱及其取代基效应

以(Bu₄N)₄[α-Mo₈O₂₆]和各种取代苯胺及其盐酸盐为原料, 在碳二环己基亚胺(DCC)存在下, 经脱水反应,合成了多种六钼酸根有机亚胺衍生物, 并用元素分析,1H-NMR,IR和UV-Vis光谱等进行表征,重点研究了六钼酸根有机亚胺衍生物在乙腈溶液中的紫外光谱。研究结果表明,该类化合物具有典型的分子内电子转移的紫外-可见光谱特征,其特征峰位移Δλ_max与苯胺的苯环取代基的共轭效应指数(σ_R)之间存在良好的线性关系。