由螺旋原子连接的系列立体交叉型分子的光谱与二阶非线性光学性质

用AM1和ZINDO系列方法研究了以螺原子连接的立体交叉型分子的几何构型,研 究了各分子的稳定构型并以稳定构型为基础,计算了这些分子的电子光谱,二阶非 线性光学系数β_μ, β_0,考察了取代基变化对β_μ的影响。计算结果表明所设 计分子兼具较大的二阶非线性光学系数和较高的透过率,有希望成为一类新型的二 阶非线性光学材料。     

糖和脂肪中卡路里含量的比较——新课程理念下化学课堂学生活动设计一例

介绍一例新课程理念指导下开展的“近似测量并比较不同食品中所含卡路里相对大小”的学生活动设计方案,材料易得、方法简单,帮助学生直观地体验油脂和碳水化合物所含热量的差别,从而关注自己的饮食健康。     

Ising Model on an Infinite Ladder Lattice

In this paper we propose an Ising model on an infinite ladder lattice, which is made of two infinite Ising spin chains with interactions. It is essentially a quasi-one-dimessional Ising model because the length of the ladder lattice is infinite, while its width is finite. We investigate the phase transition and dynamic behavior of Ising model on this quasi-one-dimessional system. We use the generalized transfer matrix method to investigate the phase transition of the system. It is found that there is no nonzero temperature phase transition in this system. At the same time, we are interested in Glauber dynamics. Based on that, we obtain the time evolution of the local spin magnetization by exactly solving a set of master equations.     

关于推导反应速率方程中的稳态近似与平衡态假设方法——对2005年全国高中学生化学竞赛的一道试题解法辨析

2005年全国高中学生化学竞赛中有一道试题（试题7—1问）是考查学生由拟设反应机理推导反应速率方程的能力的。在由拟设反应机理推导反应速率方程时,比较简单有效的方法是采用稳态近似和平衡假设。该题的标准答案是用平衡假设处理得到与实验结果相符的速率方程。而在是否可以用稳态近似方法推导结果引起了争议。本文就此发表一点浅见,以供参考。     

A novel ellipsoidal acoustic infinite element

A novel ellipsoidal acoustic infinite element is proposed. It is based a new pressure representation, which can describe and solve the eUipsoidal acoustic field more exactly. The shape functions of this novel acoustic infinite element are similar .to the Burnett‘s method, while the weight functions are defined as the product of the complex conjugates of the shaped functions and an additional weighting factor. The code of this method is cheap to generate as for 1-D element because only 1-D integral needs to be numerical. Coupling with the standard finite element, this method provides a capability for very efficiently modeling acoustic fields surrounding structures of virtually any practical shape. This novel method was deduced in brief and the conclusion was kept in detail. To test the feasibility of this novel method efficiently, in the examples the infinite elements were considered, excluding the finite elements relative. This novel eUipsoidal acoustic infinite element can deduce the analytic solution of an oscillating sphere. The example of a prolate spheroid shows that the novel infinite element is superior to the boundary element and other acoustic infinite elements. Analytical and numerical results of these examples show that this novel method is feasible.     

A Hybrid Smoothing-Nonsmooth Newton-Type Algorithm Yielding an Exact Solution of the $P_0$-LCP

We propose a hybrid smoothing-nonsmooth Newton-type algorithm for solving the P0 linear complementarity problem (P0-LCP) based on the techniques used in the non-smooth Newton method and smoothing Newton method. Under some assumptions, the proposed algorithm can find an exact solution of P0-LCP in finite steps. Preliminary numerical results indicate that the proposed algorithm is promising.     

Linear entropy dynamics of the field in the Jaynes－Cummings model with an intensity-dependent coupling in the dispersive approximation

We present the linear entropy dynamics of the field state in the dispersive cavity in the Jaynes－Cummings model with an intensity-dependent coupling in the dispersive approximation, and investigate the influence of dissipation on entanglement between the field and the atoms. We show that the coherence properties of the field are also affected by the cavity when the nonlinear process of the field interacting with the atoms with an intensity-dependent coupling is involved, and find that the dissipation constant, the intensity of the field and the atomic distribution angle have different influence on the coherence properties of the field.     

Soliton Solutions and Interaction Between a Line Soliton and a y-Periodic Soliton in Generalized （2W1）-Dimensional Nizhnik-Novikov-Veselov Equation

Using the variable separation approach, many types of exact solutions of the generalized (2 1)-dimensional Nizhnik-Novikov-Veselov equation are derived. One of the exact solutions of this model is analyzed to study the interaction between a line soliton and a y-periodic soliton.     

奇异摄动方法在输电线非线性振动问题中的应用

同一系统内部快变量和慢变量的同时存在往往引发相异于一般系统的特殊效应,比如输电线的松弛振荡.本文推导了架空输电线具有初始垂度的非线性动力学模型,发现该模型是具有快慢变量耦合的数学模型,应用求解周期运动的奇异摄动方法,得到系统的近似解析解,考察了快慢变量对系统周期运动的影响规律.结果表明解析解较数值解略微偏小,但仍有很好的吻合度,说明本文结果的有效性和正确性.进一步计算表明,随着摄动方法应用过程中近似次数的增加,两解逐次接近.     

Two-mode squeezed state of nanomechanical resonators

In this paper, we introduce a flexible model for the control and measurement of NAMRs （nanomechanical resonators）. We obtain the free Hamiltonian of the dcSQUID （direct current superconducting quantum interference device） and the interaction Hamiltonian between these two NAMRs and the dc-SQUID by introducing the annihilation and creation operators under the rotating wave approximation. We can treat the mode of the dc-SQUID as a classical field. In the Heisenberg picture, the generation of two-mode squeezed states of two nanomechanical resonators is shown by their collective coordinate and momentum operators.